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Finding the Fourth Proportional to 101,949.43, 152,924.25 and 38,754.70

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Solution

The fourth proportional to 101,949.43, 152,924.25 and 38,754.70 is: 58,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,949.43 : 152,924.25 = 38,754.70 : x
  2. Step 2: Convert to fraction form
    101,949.43/152,924.25 = 38,754.70/x
  3. Step 3: Cross multiply
    101,949.43x = 152,924.25 × 38,754.70
  4. Step 4: Simplify right side
    101,949.43x = 5,926,533,431.48
  5. Step 5: Solve for x
    x = 5,926,533,431.48/101,949.43
  6. Step 6: Final answer
    x = 58,132.09

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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.