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Finding the Fourth Proportional to 83,764.92, 115,596.48 and 45,524.47

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Solution

The fourth proportional to 83,764.92, 115,596.48 and 45,524.47 is: 62,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,764.92 : 115,596.48 = 45,524.47 : x
  2. Step 2: Convert to fraction form
    83,764.92/115,596.48 = 45,524.47/x
  3. Step 3: Cross multiply
    83,764.92x = 115,596.48 × 45,524.47
  4. Step 4: Simplify right side
    83,764.92x = 5,262,468,229.72
  5. Step 5: Solve for x
    x = 5,262,468,229.72/83,764.92
  6. Step 6: Final answer
    x = 62,824.25

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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.