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Finding the Fourth Proportional to 30,251.86, 41,747.63 and 16,823.00

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Solution

The fourth proportional to 30,251.86, 41,747.63 and 16,823.00 is: 23,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251.86 : 41,747.63 = 16,823.00 : x
  2. Step 2: Convert to fraction form
    30,251.86/41,747.63 = 16,823.00/x
  3. Step 3: Cross multiply
    30,251.86x = 41,747.63 × 16,823.00
  4. Step 4: Simplify right side
    30,251.86x = 702,320,164.91
  5. Step 5: Solve for x
    x = 702,320,164.91/30,251.86
  6. Step 6: Final answer
    x = 23,215.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.