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Finding the Fourth Proportional to 83,134.80, 124,629.30 and 49,868.10

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Solution

The fourth proportional to 83,134.80, 124,629.30 and 49,868.10 is: 74,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,134.80 : 124,629.30 = 49,868.10 : x
  2. Step 2: Convert to fraction form
    83,134.80/124,629.30 = 49,868.10/x
  3. Step 3: Cross multiply
    83,134.80x = 124,629.30 × 49,868.10
  4. Step 4: Simplify right side
    83,134.80x = 6,215,026,395.33
  5. Step 5: Solve for x
    x = 6,215,026,395.33/83,134.80
  6. Step 6: Final answer
    x = 74,758.42

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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.