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Finding the Fourth Proportional to 83,207.25, 114,826.41 and 45,481.50

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Solution

The fourth proportional to 83,207.25, 114,826.41 and 45,481.50 is: 62,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,207.25 : 114,826.41 = 45,481.50 : x
  2. Step 2: Convert to fraction form
    83,207.25/114,826.41 = 45,481.50/x
  3. Step 3: Cross multiply
    83,207.25x = 114,826.41 × 45,481.50
  4. Step 4: Simplify right side
    83,207.25x = 5,222,477,366.42
  5. Step 5: Solve for x
    x = 5,222,477,366.42/83,207.25
  6. Step 6: Final answer
    x = 62,764.69

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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.