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Finding the Fourth Proportional to 83,580.74, 125,391.86 and 41,480.58

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Solution

The fourth proportional to 83,580.74, 125,391.86 and 41,480.58 is: 62,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,580.74 : 125,391.86 = 41,480.58 : x
  2. Step 2: Convert to fraction form
    83,580.74/125,391.86 = 41,480.58/x
  3. Step 3: Cross multiply
    83,580.74x = 125,391.86 × 41,480.58
  4. Step 4: Simplify right side
    83,580.74x = 5,201,326,872.68
  5. Step 5: Solve for x
    x = 5,201,326,872.68/83,580.74
  6. Step 6: Final answer
    x = 62,231.17

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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.