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Finding the Fourth Proportional to 30,220.88, 45,332.93 and 9,446.00

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Solution

The fourth proportional to 30,220.88, 45,332.93 and 9,446.00 is: 14,169.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,220.88 : 45,332.93 = 9,446.00 : x
  2. Step 2: Convert to fraction form
    30,220.88/45,332.93 = 9,446.00/x
  3. Step 3: Cross multiply
    30,220.88x = 45,332.93 × 9,446.00
  4. Step 4: Simplify right side
    30,220.88x = 428,214,653.73
  5. Step 5: Solve for x
    x = 428,214,653.73/30,220.88
  6. Step 6: Final answer
    x = 14,169.50

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.