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Finding the Fourth Proportional to 83,357.93, 124,974 and 27,164.48

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Solution

The fourth proportional to 83,357.93, 124,974 and 27,164.48 is: 40,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,357.93 : 124,974 = 27,164.48 : x
  2. Step 2: Convert to fraction form
    83,357.93/124,974 = 27,164.48/x
  3. Step 3: Cross multiply
    83,357.93x = 124,974 × 27,164.48
  4. Step 4: Simplify right side
    83,357.93x = 3,394,853,098.65
  5. Step 5: Solve for x
    x = 3,394,853,098.65/83,357.93
  6. Step 6: Final answer
    x = 40,726.22

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1.5x scale

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.