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Finding the Fourth Proportional to 83,149.65, 124,755.48 and 49,893.59

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Solution

The fourth proportional to 83,149.65, 124,755.48 and 49,893.59 is: 74,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.65 : 124,755.48 = 49,893.59 : x
  2. Step 2: Convert to fraction form
    83,149.65/124,755.48 = 49,893.59/x
  3. Step 3: Cross multiply
    83,149.65x = 124,755.48 × 49,893.59
  4. Step 4: Simplify right side
    83,149.65x = 6,224,498,145.60
  5. Step 5: Solve for x
    x = 6,224,498,145.60/83,149.65
  6. Step 6: Final answer
    x = 74,858.98

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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.