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Finding the Fourth Proportional to 100,570.92, 150,857.70 and 25,691.68

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Solution

The fourth proportional to 100,570.92, 150,857.70 and 25,691.68 is: 38,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,570.92 : 150,857.70 = 25,691.68 : x
  2. Step 2: Convert to fraction form
    100,570.92/150,857.70 = 25,691.68/x
  3. Step 3: Cross multiply
    100,570.92x = 150,857.70 × 25,691.68
  4. Step 4: Simplify right side
    100,570.92x = 3,875,787,753.94
  5. Step 5: Solve for x
    x = 3,875,787,753.94/100,570.92
  6. Step 6: Final answer
    x = 38,537.86

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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.