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Finding the Fourth Proportional to 82,296.68, 113,618.35 and 52,107.87

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Solution

The fourth proportional to 82,296.68, 113,618.35 and 52,107.87 is: 71,939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,296.68 : 113,618.35 = 52,107.87 : x
  2. Step 2: Convert to fraction form
    82,296.68/113,618.35 = 52,107.87/x
  3. Step 3: Cross multiply
    82,296.68x = 113,618.35 × 52,107.87
  4. Step 4: Simplify right side
    82,296.68x = 5,920,410,211.41
  5. Step 5: Solve for x
    x = 5,920,410,211.41/82,296.68
  6. Step 6: Final answer
    x = 71,939.85

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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.