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Finding the Fourth Proportional to 92,209.91, 138,232.80 and 36,037.24

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Solution

The fourth proportional to 92,209.91, 138,232.80 and 36,037.24 is: 54,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,209.91 : 138,232.80 = 36,037.24 : x
  2. Step 2: Convert to fraction form
    92,209.91/138,232.80 = 36,037.24/x
  3. Step 3: Cross multiply
    92,209.91x = 138,232.80 × 36,037.24
  4. Step 4: Simplify right side
    92,209.91x = 4,981,528,589.47
  5. Step 5: Solve for x
    x = 4,981,528,589.47/92,209.91
  6. Step 6: Final answer
    x = 54,023.79

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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.