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Finding the Fourth Proportional to 83,585.28, 115,343.28 and 47,770.56

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Solution

The fourth proportional to 83,585.28, 115,343.28 and 47,770.56 is: 65,920.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,585.28 : 115,343.28 = 47,770.56 : x
  2. Step 2: Convert to fraction form
    83,585.28/115,343.28 = 47,770.56/x
  3. Step 3: Cross multiply
    83,585.28x = 115,343.28 × 47,770.56
  4. Step 4: Simplify right side
    83,585.28x = 5,510,013,077.84
  5. Step 5: Solve for x
    x = 5,510,013,077.84/83,585.28
  6. Step 6: Final answer
    x = 65,920.85

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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.