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Finding the Fourth Proportional to 89,682, 123,761.16 and 51,978.12

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Solution

The fourth proportional to 89,682, 123,761.16 and 51,978.12 is: 71,729.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,682 : 123,761.16 = 51,978.12 : x
  2. Step 2: Convert to fraction form
    89,682/123,761.16 = 51,978.12/x
  3. Step 3: Cross multiply
    89,682x = 123,761.16 × 51,978.12
  4. Step 4: Simplify right side
    89,682x = 6,432,872,425.82
  5. Step 5: Solve for x
    x = 6,432,872,425.82/89,682
  6. Step 6: Final answer
    x = 71,729.81

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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.