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Finding the Fourth Proportional to 82,591.47, 113,913.11 and 71,126.24

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Solution

The fourth proportional to 82,591.47, 113,913.11 and 71,126.24 is: 98,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,591.47 : 113,913.11 = 71,126.24 : x
  2. Step 2: Convert to fraction form
    82,591.47/113,913.11 = 71,126.24/x
  3. Step 3: Cross multiply
    82,591.47x = 113,913.11 × 71,126.24
  4. Step 4: Simplify right side
    82,591.47x = 8,102,211,201.01
  5. Step 5: Solve for x
    x = 8,102,211,201.01/82,591.47
  6. Step 6: Final answer
    x = 98,099.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.