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Finding the Fourth Proportional to 82,508.68, 113,869.34 and 48,500.12

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Solution

The fourth proportional to 82,508.68, 113,869.34 and 48,500.12 is: 66,934.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,508.68 : 113,869.34 = 48,500.12 : x
  2. Step 2: Convert to fraction form
    82,508.68/113,869.34 = 48,500.12/x
  3. Step 3: Cross multiply
    82,508.68x = 113,869.34 × 48,500.12
  4. Step 4: Simplify right side
    82,508.68x = 5,522,676,654.32
  5. Step 5: Solve for x
    x = 5,522,676,654.32/82,508.68
  6. Step 6: Final answer
    x = 66,934.49

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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.