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Finding the Fourth Proportional to 82,617.92, 114,010.10 and 48,618.57

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Solution

The fourth proportional to 82,617.92, 114,010.10 and 48,618.57 is: 67,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,617.92 : 114,010.10 = 48,618.57 : x
  2. Step 2: Convert to fraction form
    82,617.92/114,010.10 = 48,618.57/x
  3. Step 3: Cross multiply
    82,617.92x = 114,010.10 × 48,618.57
  4. Step 4: Simplify right side
    82,617.92x = 5,543,008,149.10
  5. Step 5: Solve for x
    x = 5,543,008,149.10/82,617.92
  6. Step 6: Final answer
    x = 67,092.08

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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.