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Finding the Fourth Proportional to 83,287, 124,930.62 and 34,039

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Solution

The fourth proportional to 83,287, 124,930.62 and 34,039 is: 51,058.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287 : 124,930.62 = 34,039 : x
  2. Step 2: Convert to fraction form
    83,287/124,930.62 = 34,039/x
  3. Step 3: Cross multiply
    83,287x = 124,930.62 × 34,039
  4. Step 4: Simplify right side
    83,287x = 4,252,513,374.18
  5. Step 5: Solve for x
    x = 4,252,513,374.18/83,287
  6. Step 6: Final answer
    x = 51,058.55

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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.