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Finding the Fourth Proportional to 83,195.20, 114,811.04 and 45,471.04

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Solution

The fourth proportional to 83,195.20, 114,811.04 and 45,471.04 is: 62,750.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,195.20 : 114,811.04 = 45,471.04 : x
  2. Step 2: Convert to fraction form
    83,195.20/114,811.04 = 45,471.04/x
  3. Step 3: Cross multiply
    83,195.20x = 114,811.04 × 45,471.04
  4. Step 4: Simplify right side
    83,195.20x = 5,220,577,392.28
  5. Step 5: Solve for x
    x = 5,220,577,392.28/83,195.20
  6. Step 6: Final answer
    x = 62,750.94

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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.