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Finding the Fourth Proportional to 83,226.26, 114,854.02 and 45,500.52

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Solution

The fourth proportional to 83,226.26, 114,854.02 and 45,500.52 is: 62,791.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226.26 : 114,854.02 = 45,500.52 : x
  2. Step 2: Convert to fraction form
    83,226.26/114,854.02 = 45,500.52/x
  3. Step 3: Cross multiply
    83,226.26x = 114,854.02 × 45,500.52
  4. Step 4: Simplify right side
    83,226.26x = 5,225,917,634.09
  5. Step 5: Solve for x
    x = 5,225,917,634.09/83,226.26
  6. Step 6: Final answer
    x = 62,791.69

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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.