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Finding the Fourth Proportional to 83,328, 125,005.04 and 27,155.07

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Solution

The fourth proportional to 83,328, 125,005.04 and 27,155.07 is: 40,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,328 : 125,005.04 = 27,155.07 : x
  2. Step 2: Convert to fraction form
    83,328/125,005.04 = 27,155.07/x
  3. Step 3: Cross multiply
    83,328x = 125,005.04 × 27,155.07
  4. Step 4: Simplify right side
    83,328x = 3,394,520,475.78
  5. Step 5: Solve for x
    x = 3,394,520,475.78/83,328
  6. Step 6: Final answer
    x = 40,736.85

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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.