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Finding the Fourth Proportional to 31,562.52, 43,557.68 and 17,414.52

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Solution

The fourth proportional to 31,562.52, 43,557.68 and 17,414.52 is: 24,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,562.52 : 43,557.68 = 17,414.52 : x
  2. Step 2: Convert to fraction form
    31,562.52/43,557.68 = 17,414.52/x
  3. Step 3: Cross multiply
    31,562.52x = 43,557.68 × 17,414.52
  4. Step 4: Simplify right side
    31,562.52x = 758,536,089.51
  5. Step 5: Solve for x
    x = 758,536,089.51/31,562.52
  6. Step 6: Final answer
    x = 24,032.81

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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.