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Finding the Fourth Proportional to 49,967.73, 68,948.82 and 32,086.96

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Solution

The fourth proportional to 49,967.73, 68,948.82 and 32,086.96 is: 44,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,967.73 : 68,948.82 = 32,086.96 : x
  2. Step 2: Convert to fraction form
    49,967.73/68,948.82 = 32,086.96/x
  3. Step 3: Cross multiply
    49,967.73x = 68,948.82 × 32,086.96
  4. Step 4: Simplify right side
    49,967.73x = 2,212,358,029.39
  5. Step 5: Solve for x
    x = 2,212,358,029.39/49,967.73
  6. Step 6: Final answer
    x = 44,275.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.