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Finding the Fourth Proportional to 56,049.52, 83,899.32 and 40,227.80

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Solution

The fourth proportional to 56,049.52, 83,899.32 and 40,227.80 is: 60,216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,049.52 : 83,899.32 = 40,227.80 : x
  2. Step 2: Convert to fraction form
    56,049.52/83,899.32 = 40,227.80/x
  3. Step 3: Cross multiply
    56,049.52x = 83,899.32 × 40,227.80
  4. Step 4: Simplify right side
    56,049.52x = 3,375,085,065.10
  5. Step 5: Solve for x
    x = 3,375,085,065.10/56,049.52
  6. Step 6: Final answer
    x = 60,216.13

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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.