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Finding the Fourth Proportional to 83,067.36, 114,632.92 and 45,341.61

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Solution

The fourth proportional to 83,067.36, 114,632.92 and 45,341.61 is: 62,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,067.36 : 114,632.92 = 45,341.61 : x
  2. Step 2: Convert to fraction form
    83,067.36/114,632.92 = 45,341.61/x
  3. Step 3: Cross multiply
    83,067.36x = 114,632.92 × 45,341.61
  4. Step 4: Simplify right side
    83,067.36x = 5,197,640,778.60
  5. Step 5: Solve for x
    x = 5,197,640,778.60/83,067.36
  6. Step 6: Final answer
    x = 62,571.40

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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.