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Finding the Fourth Proportional to 81,615.50, 122,398.64 and 31,684.47

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Solution

The fourth proportional to 81,615.50, 122,398.64 and 31,684.47 is: 47,517.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,615.50 : 122,398.64 = 31,684.47 : x
  2. Step 2: Convert to fraction form
    81,615.50/122,398.64 = 31,684.47/x
  3. Step 3: Cross multiply
    81,615.50x = 122,398.64 × 31,684.47
  4. Step 4: Simplify right side
    81,615.50x = 3,878,135,716.75
  5. Step 5: Solve for x
    x = 3,878,135,716.75/81,615.50
  6. Step 6: Final answer
    x = 47,517.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.