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Finding the Fourth Proportional to 83,462.92, 115,189.86 and 47,644.84

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Solution

The fourth proportional to 83,462.92, 115,189.86 and 47,644.84 is: 65,756.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.92 : 115,189.86 = 47,644.84 : x
  2. Step 2: Convert to fraction form
    83,462.92/115,189.86 = 47,644.84/x
  3. Step 3: Cross multiply
    83,462.92x = 115,189.86 × 47,644.84
  4. Step 4: Simplify right side
    83,462.92x = 5,488,202,449.32
  5. Step 5: Solve for x
    x = 5,488,202,449.32/83,462.92
  6. Step 6: Final answer
    x = 65,756.18

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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.