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Finding the Fourth Proportional to 83,436.97, 115,142.33 and 45,195.63

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Solution

The fourth proportional to 83,436.97, 115,142.33 and 45,195.63 is: 62,369.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436.97 : 115,142.33 = 45,195.63 : x
  2. Step 2: Convert to fraction form
    83,436.97/115,142.33 = 45,195.63/x
  3. Step 3: Cross multiply
    83,436.97x = 115,142.33 × 45,195.63
  4. Step 4: Simplify right side
    83,436.97x = 5,203,930,144.02
  5. Step 5: Solve for x
    x = 5,203,930,144.02/83,436.97
  6. Step 6: Final answer
    x = 62,369.60

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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.