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Finding the Fourth Proportional to 83,188.40, 114,793.08 and 45,462.56

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Solution

The fourth proportional to 83,188.40, 114,793.08 and 45,462.56 is: 62,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.40 : 114,793.08 = 45,462.56 : x
  2. Step 2: Convert to fraction form
    83,188.40/114,793.08 = 45,462.56/x
  3. Step 3: Cross multiply
    83,188.40x = 114,793.08 × 45,462.56
  4. Step 4: Simplify right side
    83,188.40x = 5,218,787,287.08
  5. Step 5: Solve for x
    x = 5,218,787,287.08/83,188.40
  6. Step 6: Final answer
    x = 62,734.56

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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.