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Finding the Fourth Proportional to 83,824.62, 115,679.39 and 48,017.76

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Solution

The fourth proportional to 83,824.62, 115,679.39 and 48,017.76 is: 66,265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,824.62 : 115,679.39 = 48,017.76 : x
  2. Step 2: Convert to fraction form
    83,824.62/115,679.39 = 48,017.76/x
  3. Step 3: Cross multiply
    83,824.62x = 115,679.39 × 48,017.76
  4. Step 4: Simplify right side
    83,824.62x = 5,554,664,945.88
  5. Step 5: Solve for x
    x = 5,554,664,945.88/83,824.62
  6. Step 6: Final answer
    x = 66,265.32

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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.