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Finding the Fourth Proportional to 83,708.60, 115,517.34 and 45,467.76

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Solution

The fourth proportional to 83,708.60, 115,517.34 and 45,467.76 is: 62,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,708.60 : 115,517.34 = 45,467.76 : x
  2. Step 2: Convert to fraction form
    83,708.60/115,517.34 = 45,467.76/x
  3. Step 3: Cross multiply
    83,708.60x = 115,517.34 × 45,467.76
  4. Step 4: Simplify right side
    83,708.60x = 5,252,314,690.96
  5. Step 5: Solve for x
    x = 5,252,314,690.96/83,708.60
  6. Step 6: Final answer
    x = 62,745.22

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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.