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Finding the Fourth Proportional to 31,710.14, 43,759.89 and 17,562.98

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Solution

The fourth proportional to 31,710.14, 43,759.89 and 17,562.98 is: 24,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.14 : 43,759.89 = 17,562.98 : x
  2. Step 2: Convert to fraction form
    31,710.14/43,759.89 = 17,562.98/x
  3. Step 3: Cross multiply
    31,710.14x = 43,759.89 × 17,562.98
  4. Step 4: Simplify right side
    31,710.14x = 768,553,854.07
  5. Step 5: Solve for x
    x = 768,553,854.07/31,710.14
  6. Step 6: Final answer
    x = 24,236.85

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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.