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Finding the Fourth Proportional to 123,626.92, 185,438.46 and 49,753

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Solution

The fourth proportional to 123,626.92, 185,438.46 and 49,753 is: 74,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,626.92 : 185,438.46 = 49,753 : x
  2. Step 2: Convert to fraction form
    123,626.92/185,438.46 = 49,753/x
  3. Step 3: Cross multiply
    123,626.92x = 185,438.46 × 49,753
  4. Step 4: Simplify right side
    123,626.92x = 9,226,119,700.38
  5. Step 5: Solve for x
    x = 9,226,119,700.38/123,626.92
  6. Step 6: Final answer
    x = 74,628.73

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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.