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Finding the Fourth Proportional to 89,732.70, 123,831.14 and 49,446.34

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Solution

The fourth proportional to 89,732.70, 123,831.14 and 49,446.34 is: 68,235.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,732.70 : 123,831.14 = 49,446.34 : x
  2. Step 2: Convert to fraction form
    89,732.70/123,831.14 = 49,446.34/x
  3. Step 3: Cross multiply
    89,732.70x = 123,831.14 × 49,446.34
  4. Step 4: Simplify right side
    89,732.70x = 6,122,996,651.03
  5. Step 5: Solve for x
    x = 6,122,996,651.03/89,732.70
  6. Step 6: Final answer
    x = 68,235.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.