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Finding the Fourth Proportional to 31,294.76, 43,187.31 and 17,146.76

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Solution

The fourth proportional to 31,294.76, 43,187.31 and 17,146.76 is: 23,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.76 : 43,187.31 = 17,146.76 : x
  2. Step 2: Convert to fraction form
    31,294.76/43,187.31 = 17,146.76/x
  3. Step 3: Cross multiply
    31,294.76x = 43,187.31 × 17,146.76
  4. Step 4: Simplify right side
    31,294.76x = 740,522,223.68
  5. Step 5: Solve for x
    x = 740,522,223.68/31,294.76
  6. Step 6: Final answer
    x = 23,662.82

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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.