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Finding the Fourth Proportional to 83,894.59, 125,841.75 and 57,519.37

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Solution

The fourth proportional to 83,894.59, 125,841.75 and 57,519.37 is: 86,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,894.59 : 125,841.75 = 57,519.37 : x
  2. Step 2: Convert to fraction form
    83,894.59/125,841.75 = 57,519.37/x
  3. Step 3: Cross multiply
    83,894.59x = 125,841.75 × 57,519.37
  4. Step 4: Simplify right side
    83,894.59x = 7,238,338,179.70
  5. Step 5: Solve for x
    x = 7,238,338,179.70/83,894.59
  6. Step 6: Final answer
    x = 86,278.96

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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.