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Finding the Fourth Proportional to 77,129.60, 115,760 and 54,997.12

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Solution

The fourth proportional to 77,129.60, 115,760 and 54,997.12 is: 82,542.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,129.60 : 115,760 = 54,997.12 : x
  2. Step 2: Convert to fraction form
    77,129.60/115,760 = 54,997.12/x
  3. Step 3: Cross multiply
    77,129.60x = 115,760 × 54,997.12
  4. Step 4: Simplify right side
    77,129.60x = 6,366,466,611.20
  5. Step 5: Solve for x
    x = 6,366,466,611.20/77,129.60
  6. Step 6: Final answer
    x = 82,542.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.