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Finding the Fourth Proportional to 83,584.31, 125,230.59 and 69,633.95

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Solution

The fourth proportional to 83,584.31, 125,230.59 and 69,633.95 is: 104,329.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,584.31 : 125,230.59 = 69,633.95 : x
  2. Step 2: Convert to fraction form
    83,584.31/125,230.59 = 69,633.95/x
  3. Step 3: Cross multiply
    83,584.31x = 125,230.59 × 69,633.95
  4. Step 4: Simplify right side
    83,584.31x = 8,720,300,016.38
  5. Step 5: Solve for x
    x = 8,720,300,016.38/83,584.31
  6. Step 6: Final answer
    x = 104,329.40

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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.