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Finding the Fourth Proportional to 31,265.76, 43,146 and 17,119.20

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Solution

The fourth proportional to 31,265.76, 43,146 and 17,119.20 is: 23,624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,265.76 : 43,146 = 17,119.20 : x
  2. Step 2: Convert to fraction form
    31,265.76/43,146 = 17,119.20/x
  3. Step 3: Cross multiply
    31,265.76x = 43,146 × 17,119.20
  4. Step 4: Simplify right side
    31,265.76x = 738,625,003.20
  5. Step 5: Solve for x
    x = 738,625,003.20/31,265.76
  6. Step 6: Final answer
    x = 23,624.09

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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.