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Finding the Fourth Proportional to 52,952.89, 79,380.66 and 22,948.31

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Solution

The fourth proportional to 52,952.89, 79,380.66 and 22,948.31 is: 34,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.89 : 79,380.66 = 22,948.31 : x
  2. Step 2: Convert to fraction form
    52,952.89/79,380.66 = 22,948.31/x
  3. Step 3: Cross multiply
    52,952.89x = 79,380.66 × 22,948.31
  4. Step 4: Simplify right side
    52,952.89x = 1,821,652,149.11
  5. Step 5: Solve for x
    x = 1,821,652,149.11/52,952.89
  6. Step 6: Final answer
    x = 34,401.37

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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.