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Finding the Fourth Proportional to 83,551.92, 115,236.48 and 51,738.48

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Solution

The fourth proportional to 83,551.92, 115,236.48 and 51,738.48 is: 71,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,551.92 : 115,236.48 = 51,738.48 : x
  2. Step 2: Convert to fraction form
    83,551.92/115,236.48 = 51,738.48/x
  3. Step 3: Cross multiply
    83,551.92x = 115,236.48 × 51,738.48
  4. Step 4: Simplify right side
    83,551.92x = 5,962,160,315.75
  5. Step 5: Solve for x
    x = 5,962,160,315.75/83,551.92
  6. Step 6: Final answer
    x = 71,358.75

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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.