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Finding the Fourth Proportional to 42,817.54, 64,182.17 and 17,872.11

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Solution

The fourth proportional to 42,817.54, 64,182.17 and 17,872.11 is: 26,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,817.54 : 64,182.17 = 17,872.11 : x
  2. Step 2: Convert to fraction form
    42,817.54/64,182.17 = 17,872.11/x
  3. Step 3: Cross multiply
    42,817.54x = 64,182.17 × 17,872.11
  4. Step 4: Simplify right side
    42,817.54x = 1,147,070,392.01
  5. Step 5: Solve for x
    x = 1,147,070,392.01/42,817.54
  6. Step 6: Final answer
    x = 26,789.73

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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.