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Finding the Fourth Proportional to 123,348.81, 185,024.13 and 29,854.56

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Solution

The fourth proportional to 123,348.81, 185,024.13 and 29,854.56 is: 44,782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,348.81 : 185,024.13 = 29,854.56 : x
  2. Step 2: Convert to fraction form
    123,348.81/185,024.13 = 29,854.56/x
  3. Step 3: Cross multiply
    123,348.81x = 185,024.13 × 29,854.56
  4. Step 4: Simplify right side
    123,348.81x = 5,523,813,990.53
  5. Step 5: Solve for x
    x = 5,523,813,990.53/123,348.81
  6. Step 6: Final answer
    x = 44,782.06

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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.