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Finding the Fourth Proportional to 31,569.38, 43,565.99 and 17,229.32

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Solution

The fourth proportional to 31,569.38, 43,565.99 and 17,229.32 is: 23,776.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.38 : 43,565.99 = 17,229.32 : x
  2. Step 2: Convert to fraction form
    31,569.38/43,565.99 = 17,229.32/x
  3. Step 3: Cross multiply
    31,569.38x = 43,565.99 × 17,229.32
  4. Step 4: Simplify right side
    31,569.38x = 750,612,382.83
  5. Step 5: Solve for x
    x = 750,612,382.83/31,569.38
  6. Step 6: Final answer
    x = 23,776.60

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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.