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Finding the Fourth Proportional to 83,231.84, 114,867.90 and 49,251.12

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Solution

The fourth proportional to 83,231.84, 114,867.90 and 49,251.12 is: 67,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.84 : 114,867.90 = 49,251.12 : x
  2. Step 2: Convert to fraction form
    83,231.84/114,867.90 = 49,251.12/x
  3. Step 3: Cross multiply
    83,231.84x = 114,867.90 × 49,251.12
  4. Step 4: Simplify right side
    83,231.84x = 5,657,372,727.05
  5. Step 5: Solve for x
    x = 5,657,372,727.05/83,231.84
  6. Step 6: Final answer
    x = 67,971.26

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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.