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Finding the Fourth Proportional to 81,630.22, 122,422.15 and 31,699.66

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Solution

The fourth proportional to 81,630.22, 122,422.15 and 31,699.66 is: 47,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,630.22 : 122,422.15 = 31,699.66 : x
  2. Step 2: Convert to fraction form
    81,630.22/122,422.15 = 31,699.66/x
  3. Step 3: Cross multiply
    81,630.22x = 122,422.15 × 31,699.66
  4. Step 4: Simplify right side
    81,630.22x = 3,880,740,531.47
  5. Step 5: Solve for x
    x = 3,880,740,531.47/81,630.22
  6. Step 6: Final answer
    x = 47,540.49

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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.