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Finding the Fourth Proportional to 31,490.60, 43,456.74 and 17,343.14

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Solution

The fourth proportional to 31,490.60, 43,456.74 and 17,343.14 is: 23,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490.60 : 43,456.74 = 17,343.14 : x
  2. Step 2: Convert to fraction form
    31,490.60/43,456.74 = 17,343.14/x
  3. Step 3: Cross multiply
    31,490.60x = 43,456.74 × 17,343.14
  4. Step 4: Simplify right side
    31,490.60x = 753,676,325.76
  5. Step 5: Solve for x
    x = 753,676,325.76/31,490.60
  6. Step 6: Final answer
    x = 23,933.37

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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.