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Finding the Fourth Proportional to 83,230.90, 124,843.10 and 45,865.06

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Solution

The fourth proportional to 83,230.90, 124,843.10 and 45,865.06 is: 68,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230.90 : 124,843.10 = 45,865.06 : x
  2. Step 2: Convert to fraction form
    83,230.90/124,843.10 = 45,865.06/x
  3. Step 3: Cross multiply
    83,230.90x = 124,843.10 × 45,865.06
  4. Step 4: Simplify right side
    83,230.90x = 5,725,936,272.09
  5. Step 5: Solve for x
    x = 5,725,936,272.09/83,230.90
  6. Step 6: Final answer
    x = 68,795.80

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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.