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Finding the Fourth Proportional to 55,102.67, 76,040.42 and 31,229.43

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Solution

The fourth proportional to 55,102.67, 76,040.42 and 31,229.43 is: 43,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.67 : 76,040.42 = 31,229.43 : x
  2. Step 2: Convert to fraction form
    55,102.67/76,040.42 = 31,229.43/x
  3. Step 3: Cross multiply
    55,102.67x = 76,040.42 × 31,229.43
  4. Step 4: Simplify right side
    55,102.67x = 2,374,698,817.41
  5. Step 5: Solve for x
    x = 2,374,698,817.41/55,102.67
  6. Step 6: Final answer
    x = 43,095.90

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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.