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Finding the Fourth Proportional to 83,470.93, 125,122.86 and 41,381.81

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Solution

The fourth proportional to 83,470.93, 125,122.86 and 41,381.81 is: 62,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.93 : 125,122.86 = 41,381.81 : x
  2. Step 2: Convert to fraction form
    83,470.93/125,122.86 = 41,381.81/x
  3. Step 3: Cross multiply
    83,470.93x = 125,122.86 × 41,381.81
  4. Step 4: Simplify right side
    83,470.93x = 5,177,810,262.77
  5. Step 5: Solve for x
    x = 5,177,810,262.77/83,470.93
  6. Step 6: Final answer
    x = 62,031.30

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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.