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Finding the Fourth Proportional to 83,704.62, 115,513.22 and 45,464.54

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Solution

The fourth proportional to 83,704.62, 115,513.22 and 45,464.54 is: 62,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.62 : 115,513.22 = 45,464.54 : x
  2. Step 2: Convert to fraction form
    83,704.62/115,513.22 = 45,464.54/x
  3. Step 3: Cross multiply
    83,704.62x = 115,513.22 × 45,464.54
  4. Step 4: Simplify right side
    83,704.62x = 5,251,754,833.65
  5. Step 5: Solve for x
    x = 5,251,754,833.65/83,704.62
  6. Step 6: Final answer
    x = 62,741.52

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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.