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Finding the Fourth Proportional to 83,438.70, 115,145.46 and 45,198.33

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Solution

The fourth proportional to 83,438.70, 115,145.46 and 45,198.33 is: 62,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,438.70 : 115,145.46 = 45,198.33 : x
  2. Step 2: Convert to fraction form
    83,438.70/115,145.46 = 45,198.33/x
  3. Step 3: Cross multiply
    83,438.70x = 115,145.46 × 45,198.33
  4. Step 4: Simplify right side
    83,438.70x = 5,204,382,499.08
  5. Step 5: Solve for x
    x = 5,204,382,499.08/83,438.70
  6. Step 6: Final answer
    x = 62,373.72

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