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Finding the Fourth Proportional to 83,150.90, 114,748.22 and 44,910.47

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Solution

The fourth proportional to 83,150.90, 114,748.22 and 44,910.47 is: 61,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,150.90 : 114,748.22 = 44,910.47 : x
  2. Step 2: Convert to fraction form
    83,150.90/114,748.22 = 44,910.47/x
  3. Step 3: Cross multiply
    83,150.90x = 114,748.22 × 44,910.47
  4. Step 4: Simplify right side
    83,150.90x = 5,153,395,693.57
  5. Step 5: Solve for x
    x = 5,153,395,693.57/83,150.90
  6. Step 6: Final answer
    x = 61,976.43

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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.