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Finding the Fourth Proportional to 83,162.54, 124,774.78 and 49,906.46

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Solution

The fourth proportional to 83,162.54, 124,774.78 and 49,906.46 is: 74,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,162.54 : 124,774.78 = 49,906.46 : x
  2. Step 2: Convert to fraction form
    83,162.54/124,774.78 = 49,906.46/x
  3. Step 3: Cross multiply
    83,162.54x = 124,774.78 × 49,906.46
  4. Step 4: Simplify right side
    83,162.54x = 6,227,067,567.08
  5. Step 5: Solve for x
    x = 6,227,067,567.08/83,162.54
  6. Step 6: Final answer
    x = 74,878.28

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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.