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Finding the Fourth Proportional to 83,943.93, 115,839.01 and 45,702.65

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Solution

The fourth proportional to 83,943.93, 115,839.01 and 45,702.65 is: 63,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,943.93 : 115,839.01 = 45,702.65 : x
  2. Step 2: Convert to fraction form
    83,943.93/115,839.01 = 45,702.65/x
  3. Step 3: Cross multiply
    83,943.93x = 115,839.01 × 45,702.65
  4. Step 4: Simplify right side
    83,943.93x = 5,294,149,730.38
  5. Step 5: Solve for x
    x = 5,294,149,730.38/83,943.93
  6. Step 6: Final answer
    x = 63,067.69

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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.