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Finding the Fourth Proportional to 57,351.90, 86,033.16 and 22,294.20

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Solution

The fourth proportional to 57,351.90, 86,033.16 and 22,294.20 is: 33,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,351.90 : 86,033.16 = 22,294.20 : x
  2. Step 2: Convert to fraction form
    57,351.90/86,033.16 = 22,294.20/x
  3. Step 3: Cross multiply
    57,351.90x = 86,033.16 × 22,294.20
  4. Step 4: Simplify right side
    57,351.90x = 1,918,040,475.67
  5. Step 5: Solve for x
    x = 1,918,040,475.67/57,351.90
  6. Step 6: Final answer
    x = 33,443.36

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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.