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Finding the Fourth Proportional to 30,221, 45,333.12 and 9,446.12

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Solution

The fourth proportional to 30,221, 45,333.12 and 9,446.12 is: 14,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,221 : 45,333.12 = 9,446.12 : x
  2. Step 2: Convert to fraction form
    30,221/45,333.12 = 9,446.12/x
  3. Step 3: Cross multiply
    30,221x = 45,333.12 × 9,446.12
  4. Step 4: Simplify right side
    30,221x = 428,222,091.49
  5. Step 5: Solve for x
    x = 428,222,091.49/30,221
  6. Step 6: Final answer
    x = 14,169.69

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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.