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Finding the Fourth Proportional to 96,593.90, 144,660.45 and 47,288.30

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Solution

The fourth proportional to 96,593.90, 144,660.45 and 47,288.30 is: 70,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,593.90 : 144,660.45 = 47,288.30 : x
  2. Step 2: Convert to fraction form
    96,593.90/144,660.45 = 47,288.30/x
  3. Step 3: Cross multiply
    96,593.90x = 144,660.45 × 47,288.30
  4. Step 4: Simplify right side
    96,593.90x = 6,840,746,757.74
  5. Step 5: Solve for x
    x = 6,840,746,757.74/96,593.90
  6. Step 6: Final answer
    x = 70,819.66

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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.