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Finding the Fourth Proportional to 83,565.69, 125,386.80 and 36,195.27

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Solution

The fourth proportional to 83,565.69, 125,386.80 and 36,195.27 is: 54,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,565.69 : 125,386.80 = 36,195.27 : x
  2. Step 2: Convert to fraction form
    83,565.69/125,386.80 = 36,195.27/x
  3. Step 3: Cross multiply
    83,565.69x = 125,386.80 × 36,195.27
  4. Step 4: Simplify right side
    83,565.69x = 4,538,409,080.44
  5. Step 5: Solve for x
    x = 4,538,409,080.44/83,565.69
  6. Step 6: Final answer
    x = 54,309.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.