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Finding the Fourth Proportional to 83,082.04, 114,659.76 and 47,273.56

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Solution

The fourth proportional to 83,082.04, 114,659.76 and 47,273.56 is: 65,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,082.04 : 114,659.76 = 47,273.56 : x
  2. Step 2: Convert to fraction form
    83,082.04/114,659.76 = 47,273.56/x
  3. Step 3: Cross multiply
    83,082.04x = 114,659.76 × 47,273.56
  4. Step 4: Simplify right side
    83,082.04x = 5,420,375,043.95
  5. Step 5: Solve for x
    x = 5,420,375,043.95/83,082.04
  6. Step 6: Final answer
    x = 65,241.24

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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.