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Finding the Fourth Proportional to 96,144.92, 144,233.76 and 29,583.56

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Solution

The fourth proportional to 96,144.92, 144,233.76 and 29,583.56 is: 44,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,144.92 : 144,233.76 = 29,583.56 : x
  2. Step 2: Convert to fraction form
    96,144.92/144,233.76 = 29,583.56/x
  3. Step 3: Cross multiply
    96,144.92x = 144,233.76 × 29,583.56
  4. Step 4: Simplify right side
    96,144.92x = 4,266,948,092.99
  5. Step 5: Solve for x
    x = 4,266,948,092.99/96,144.92
  6. Step 6: Final answer
    x = 44,380.38

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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.