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Finding the Fourth Proportional to 83,449.26, 115,212.56 and 57,947.48

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Solution

The fourth proportional to 83,449.26, 115,212.56 and 57,947.48 is: 80,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,449.26 : 115,212.56 = 57,947.48 : x
  2. Step 2: Convert to fraction form
    83,449.26/115,212.56 = 57,947.48/x
  3. Step 3: Cross multiply
    83,449.26x = 115,212.56 × 57,947.48
  4. Step 4: Simplify right side
    83,449.26x = 6,676,277,516.35
  5. Step 5: Solve for x
    x = 6,676,277,516.35/83,449.26
  6. Step 6: Final answer
    x = 80,004.03

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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.