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Finding the Fourth Proportional to 40,082.70, 55,310.14 and 22,177.24

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Solution

The fourth proportional to 40,082.70, 55,310.14 and 22,177.24 is: 30,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,082.70 : 55,310.14 = 22,177.24 : x
  2. Step 2: Convert to fraction form
    40,082.70/55,310.14 = 22,177.24/x
  3. Step 3: Cross multiply
    40,082.70x = 55,310.14 × 22,177.24
  4. Step 4: Simplify right side
    40,082.70x = 1,226,626,449.78
  5. Step 5: Solve for x
    x = 1,226,626,449.78/40,082.70
  6. Step 6: Final answer
    x = 30,602.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.