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Finding the Fourth Proportional to 97,843.68, 146,765.52 and 38,707.20

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Solution

The fourth proportional to 97,843.68, 146,765.52 and 38,707.20 is: 58,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.68 : 146,765.52 = 38,707.20 : x
  2. Step 2: Convert to fraction form
    97,843.68/146,765.52 = 38,707.20/x
  3. Step 3: Cross multiply
    97,843.68x = 146,765.52 × 38,707.20
  4. Step 4: Simplify right side
    97,843.68x = 5,680,882,335.74
  5. Step 5: Solve for x
    x = 5,680,882,335.74/97,843.68
  6. Step 6: Final answer
    x = 58,060.80

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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.