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Finding the Fourth Proportional to 83,754.18, 125,631.36 and 39,348.36

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Solution

The fourth proportional to 83,754.18, 125,631.36 and 39,348.36 is: 59,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754.18 : 125,631.36 = 39,348.36 : x
  2. Step 2: Convert to fraction form
    83,754.18/125,631.36 = 39,348.36/x
  3. Step 3: Cross multiply
    83,754.18x = 125,631.36 × 39,348.36
  4. Step 4: Simplify right side
    83,754.18x = 4,943,387,980.57
  5. Step 5: Solve for x
    x = 4,943,387,980.57/83,754.18
  6. Step 6: Final answer
    x = 59,022.58

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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.