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Finding the Fourth Proportional to 83,447, 125,141.03 and 36,060.18

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Solution

The fourth proportional to 83,447, 125,141.03 and 36,060.18 is: 54,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,447 : 125,141.03 = 36,060.18 : x
  2. Step 2: Convert to fraction form
    83,447/125,141.03 = 36,060.18/x
  3. Step 3: Cross multiply
    83,447x = 125,141.03 × 36,060.18
  4. Step 4: Simplify right side
    83,447x = 4,512,608,067.19
  5. Step 5: Solve for x
    x = 4,512,608,067.19/83,447
  6. Step 6: Final answer
    x = 54,077.54

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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.