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Finding the Fourth Proportional to 83,382.84, 115,067.76 and 45,142.11

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Solution

The fourth proportional to 83,382.84, 115,067.76 and 45,142.11 is: 62,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.84 : 115,067.76 = 45,142.11 : x
  2. Step 2: Convert to fraction form
    83,382.84/115,067.76 = 45,142.11/x
  3. Step 3: Cross multiply
    83,382.84x = 115,067.76 × 45,142.11
  4. Step 4: Simplify right side
    83,382.84x = 5,194,401,479.37
  5. Step 5: Solve for x
    x = 5,194,401,479.37/83,382.84
  6. Step 6: Final answer
    x = 62,295.81

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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.