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Finding the Fourth Proportional to 57,874.16, 86,817.62 and 18,422.03

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Solution

The fourth proportional to 57,874.16, 86,817.62 and 18,422.03 is: 27,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.16 : 86,817.62 = 18,422.03 : x
  2. Step 2: Convert to fraction form
    57,874.16/86,817.62 = 18,422.03/x
  3. Step 3: Cross multiply
    57,874.16x = 86,817.62 × 18,422.03
  4. Step 4: Simplify right side
    57,874.16x = 1,599,357,063.27
  5. Step 5: Solve for x
    x = 1,599,357,063.27/57,874.16
  6. Step 6: Final answer
    x = 27,635.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.