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Finding the Fourth Proportional to 83,544.96, 115,293.84 and 45,819.12

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Solution

The fourth proportional to 83,544.96, 115,293.84 and 45,819.12 is: 63,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544.96 : 115,293.84 = 45,819.12 : x
  2. Step 2: Convert to fraction form
    83,544.96/115,293.84 = 45,819.12/x
  3. Step 3: Cross multiply
    83,544.96x = 115,293.84 × 45,819.12
  4. Step 4: Simplify right side
    83,544.96x = 5,282,662,290.22
  5. Step 5: Solve for x
    x = 5,282,662,290.22/83,544.96
  6. Step 6: Final answer
    x = 63,231.37

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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.