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Finding the Fourth Proportional to 83,754.57, 115,591.14 and 49,763.34

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Solution

The fourth proportional to 83,754.57, 115,591.14 and 49,763.34 is: 68,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,754.57 : 115,591.14 = 49,763.34 : x
  2. Step 2: Convert to fraction form
    83,754.57/115,591.14 = 49,763.34/x
  3. Step 3: Cross multiply
    83,754.57x = 115,591.14 × 49,763.34
  4. Step 4: Simplify right side
    83,754.57x = 5,752,201,200.81
  5. Step 5: Solve for x
    x = 5,752,201,200.81/83,754.57
  6. Step 6: Final answer
    x = 68,679.25

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1.5x scale

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.