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Finding the Fourth Proportional to 31,569.35, 43,565.50 and 17,422.19

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Solution

The fourth proportional to 31,569.35, 43,565.50 and 17,422.19 is: 24,042.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,569.35 : 43,565.50 = 17,422.19 : x
  2. Step 2: Convert to fraction form
    31,569.35/43,565.50 = 17,422.19/x
  3. Step 3: Cross multiply
    31,569.35x = 43,565.50 × 17,422.19
  4. Step 4: Simplify right side
    31,569.35x = 759,006,287.77
  5. Step 5: Solve for x
    x = 759,006,287.77/31,569.35
  6. Step 6: Final answer
    x = 24,042.51

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