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Finding the Fourth Proportional to 123,642.47, 185,446.89 and 34,903.13

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Solution

The fourth proportional to 123,642.47, 185,446.89 and 34,903.13 is: 52,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,642.47 : 185,446.89 = 34,903.13 : x
  2. Step 2: Convert to fraction form
    123,642.47/185,446.89 = 34,903.13/x
  3. Step 3: Cross multiply
    123,642.47x = 185,446.89 × 34,903.13
  4. Step 4: Simplify right side
    123,642.47x = 6,472,675,982.53
  5. Step 5: Solve for x
    x = 6,472,675,982.53/123,642.47
  6. Step 6: Final answer
    x = 52,349.94

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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.