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Finding the Fourth Proportional to 83,452.82, 115,158.55 and 47,637.96

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Solution

The fourth proportional to 83,452.82, 115,158.55 and 47,637.96 is: 65,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,452.82 : 115,158.55 = 47,637.96 : x
  2. Step 2: Convert to fraction form
    83,452.82/115,158.55 = 47,637.96/x
  3. Step 3: Cross multiply
    83,452.82x = 115,158.55 × 47,637.96
  4. Step 4: Simplify right side
    83,452.82x = 5,485,918,398.56
  5. Step 5: Solve for x
    x = 5,485,918,398.56/83,452.82
  6. Step 6: Final answer
    x = 65,736.76

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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.