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Finding the Fourth Proportional to 83,443.84, 115,132.56 and 49,446.48

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Solution

The fourth proportional to 83,443.84, 115,132.56 and 49,446.48 is: 68,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443.84 : 115,132.56 = 49,446.48 : x
  2. Step 2: Convert to fraction form
    83,443.84/115,132.56 = 49,446.48/x
  3. Step 3: Cross multiply
    83,443.84x = 115,132.56 × 49,446.48
  4. Step 4: Simplify right side
    83,443.84x = 5,692,899,825.39
  5. Step 5: Solve for x
    x = 5,692,899,825.39/83,443.84
  6. Step 6: Final answer
    x = 68,224.33

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