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Finding the Fourth Proportional to 83,544.96, 115,298.14 and 47,734.20

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Solution

The fourth proportional to 83,544.96, 115,298.14 and 47,734.20 is: 65,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544.96 : 115,298.14 = 47,734.20 : x
  2. Step 2: Convert to fraction form
    83,544.96/115,298.14 = 47,734.20/x
  3. Step 3: Cross multiply
    83,544.96x = 115,298.14 × 47,734.20
  4. Step 4: Simplify right side
    83,544.96x = 5,503,664,474.39
  5. Step 5: Solve for x
    x = 5,503,664,474.39/83,544.96
  6. Step 6: Final answer
    x = 65,876.68

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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.