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Finding the Fourth Proportional to 73,178.92, 109,691.34 and 41,549.32

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Solution

The fourth proportional to 73,178.92, 109,691.34 and 41,549.32 is: 62,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.92 : 109,691.34 = 41,549.32 : x
  2. Step 2: Convert to fraction form
    73,178.92/109,691.34 = 41,549.32/x
  3. Step 3: Cross multiply
    73,178.92x = 109,691.34 × 41,549.32
  4. Step 4: Simplify right side
    73,178.92x = 4,557,600,586.89
  5. Step 5: Solve for x
    x = 4,557,600,586.89/73,178.92
  6. Step 6: Final answer
    x = 62,280.24

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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.