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Finding the Fourth Proportional to 31,487.78, 43,453.14 and 17,340.50

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Solution

The fourth proportional to 31,487.78, 43,453.14 and 17,340.50 is: 23,929.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,487.78 : 43,453.14 = 17,340.50 : x
  2. Step 2: Convert to fraction form
    31,487.78/43,453.14 = 17,340.50/x
  3. Step 3: Cross multiply
    31,487.78x = 43,453.14 × 17,340.50
  4. Step 4: Simplify right side
    31,487.78x = 753,499,174.17
  5. Step 5: Solve for x
    x = 753,499,174.17/31,487.78
  6. Step 6: Final answer
    x = 23,929.89

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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.