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Finding the Fourth Proportional to 83,437.38, 115,142.04 and 45,711.36

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Solution

The fourth proportional to 83,437.38, 115,142.04 and 45,711.36 is: 63,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,437.38 : 115,142.04 = 45,711.36 : x
  2. Step 2: Convert to fraction form
    83,437.38/115,142.04 = 45,711.36/x
  3. Step 3: Cross multiply
    83,437.38x = 115,142.04 × 45,711.36
  4. Step 4: Simplify right side
    83,437.38x = 5,263,299,241.57
  5. Step 5: Solve for x
    x = 5,263,299,241.57/83,437.38
  6. Step 6: Final answer
    x = 63,080.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.