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Finding the Fourth Proportional to 100,471.18, 150,707.92 and 25,591.22

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Solution

The fourth proportional to 100,471.18, 150,707.92 and 25,591.22 is: 38,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,471.18 : 150,707.92 = 25,591.22 : x
  2. Step 2: Convert to fraction form
    100,471.18/150,707.92 = 25,591.22/x
  3. Step 3: Cross multiply
    100,471.18x = 150,707.92 × 25,591.22
  4. Step 4: Simplify right side
    100,471.18x = 3,856,799,536.46
  5. Step 5: Solve for x
    x = 3,856,799,536.46/100,471.18
  6. Step 6: Final answer
    x = 38,387.12

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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.