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Finding the Fourth Proportional to 83,250.88, 114,871.28 and 49,242.44

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Solution

The fourth proportional to 83,250.88, 114,871.28 and 49,242.44 is: 67,945.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,250.88 : 114,871.28 = 49,242.44 : x
  2. Step 2: Convert to fraction form
    83,250.88/114,871.28 = 49,242.44/x
  3. Step 3: Cross multiply
    83,250.88x = 114,871.28 × 49,242.44
  4. Step 4: Simplify right side
    83,250.88x = 5,656,542,113.12
  5. Step 5: Solve for x
    x = 5,656,542,113.12/83,250.88
  6. Step 6: Final answer
    x = 67,945.73

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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.