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Finding the Fourth Proportional to 83,357.52, 125,036.32 and 36,610.80

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Solution

The fourth proportional to 83,357.52, 125,036.32 and 36,610.80 is: 54,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357.52 : 125,036.32 = 36,610.80 : x
  2. Step 2: Convert to fraction form
    83,357.52/125,036.32 = 36,610.80/x
  3. Step 3: Cross multiply
    83,357.52x = 125,036.32 × 36,610.80
  4. Step 4: Simplify right side
    83,357.52x = 4,577,679,704.26
  5. Step 5: Solve for x
    x = 4,577,679,704.26/83,357.52
  6. Step 6: Final answer
    x = 54,916.22

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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.