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Finding the Fourth Proportional to 83,006.60, 124,361.40 and 50,489.60

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Solution

The fourth proportional to 83,006.60, 124,361.40 and 50,489.60 is: 75,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.60 : 124,361.40 = 50,489.60 : x
  2. Step 2: Convert to fraction form
    83,006.60/124,361.40 = 50,489.60/x
  3. Step 3: Cross multiply
    83,006.60x = 124,361.40 × 50,489.60
  4. Step 4: Simplify right side
    83,006.60x = 6,278,957,341.44
  5. Step 5: Solve for x
    x = 6,278,957,341.44/83,006.60
  6. Step 6: Final answer
    x = 75,644.07

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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.