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Finding the Fourth Proportional to 83,608.28, 115,378.92 and 45,367

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Solution

The fourth proportional to 83,608.28, 115,378.92 and 45,367 is: 62,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,608.28 : 115,378.92 = 45,367 : x
  2. Step 2: Convert to fraction form
    83,608.28/115,378.92 = 45,367/x
  3. Step 3: Cross multiply
    83,608.28x = 115,378.92 × 45,367
  4. Step 4: Simplify right side
    83,608.28x = 5,234,395,463.64
  5. Step 5: Solve for x
    x = 5,234,395,463.64/83,608.28
  6. Step 6: Final answer
    x = 62,606.19

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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.