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Finding the Fourth Proportional to 83,342, 115,011.96 and 45,616.26

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Solution

The fourth proportional to 83,342, 115,011.96 and 45,616.26 is: 62,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,342 : 115,011.96 = 45,616.26 : x
  2. Step 2: Convert to fraction form
    83,342/115,011.96 = 45,616.26/x
  3. Step 3: Cross multiply
    83,342x = 115,011.96 × 45,616.26
  4. Step 4: Simplify right side
    83,342x = 5,246,415,470.47
  5. Step 5: Solve for x
    x = 5,246,415,470.47/83,342
  6. Step 6: Final answer
    x = 62,950.44

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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.