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Finding the Fourth Proportional to 83,314.71, 124,986.65 and 30,724.65

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Solution

The fourth proportional to 83,314.71, 124,986.65 and 30,724.65 is: 46,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,314.71 : 124,986.65 = 30,724.65 : x
  2. Step 2: Convert to fraction form
    83,314.71/124,986.65 = 30,724.65/x
  3. Step 3: Cross multiply
    83,314.71x = 124,986.65 × 30,724.65
  4. Step 4: Simplify right side
    83,314.71x = 3,840,170,922.30
  5. Step 5: Solve for x
    x = 3,840,170,922.30/83,314.71
  6. Step 6: Final answer
    x = 46,092.35

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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.