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Finding the Fourth Proportional to 83,159.82, 124,682.76 and 29,850.60

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Solution

The fourth proportional to 83,159.82, 124,682.76 and 29,850.60 is: 44,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.82 : 124,682.76 = 29,850.60 : x
  2. Step 2: Convert to fraction form
    83,159.82/124,682.76 = 29,850.60/x
  3. Step 3: Cross multiply
    83,159.82x = 124,682.76 × 29,850.60
  4. Step 4: Simplify right side
    83,159.82x = 3,721,855,195.66
  5. Step 5: Solve for x
    x = 3,721,855,195.66/83,159.82
  6. Step 6: Final answer
    x = 44,755.45

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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.