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Finding the Fourth Proportional to 29,565.68, 44,349 and 9,843.92

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Solution

The fourth proportional to 29,565.68, 44,349 and 9,843.92 is: 14,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,565.68 : 44,349 = 9,843.92 : x
  2. Step 2: Convert to fraction form
    29,565.68/44,349 = 9,843.92/x
  3. Step 3: Cross multiply
    29,565.68x = 44,349 × 9,843.92
  4. Step 4: Simplify right side
    29,565.68x = 436,568,008.08
  5. Step 5: Solve for x
    x = 436,568,008.08/29,565.68
  6. Step 6: Final answer
    x = 14,766.04

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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.