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Finding the Fourth Proportional to 83,251, 124,876.62 and 34,003

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Solution

The fourth proportional to 83,251, 124,876.62 and 34,003 is: 51,004.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,251 : 124,876.62 = 34,003 : x
  2. Step 2: Convert to fraction form
    83,251/124,876.62 = 34,003/x
  3. Step 3: Cross multiply
    83,251x = 124,876.62 × 34,003
  4. Step 4: Simplify right side
    83,251x = 4,246,179,709.86
  5. Step 5: Solve for x
    x = 4,246,179,709.86/83,251
  6. Step 6: Final answer
    x = 51,004.55

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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.