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Finding the Fourth Proportional to 91,604.64, 137,471.87 and 41,691.16

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Solution

The fourth proportional to 91,604.64, 137,471.87 and 41,691.16 is: 62,566.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,604.64 : 137,471.87 = 41,691.16 : x
  2. Step 2: Convert to fraction form
    91,604.64/137,471.87 = 41,691.16/x
  3. Step 3: Cross multiply
    91,604.64x = 137,471.87 × 41,691.16
  4. Step 4: Simplify right side
    91,604.64x = 5,731,361,727.67
  5. Step 5: Solve for x
    x = 5,731,361,727.67/91,604.64
  6. Step 6: Final answer
    x = 62,566.28

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Why These Related Problems?

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