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Finding the Fourth Proportional to 71,294.40, 106,912.80 and 24,523.20

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Solution

The fourth proportional to 71,294.40, 106,912.80 and 24,523.20 is: 36,774.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,294.40 : 106,912.80 = 24,523.20 : x
  2. Step 2: Convert to fraction form
    71,294.40/106,912.80 = 24,523.20/x
  3. Step 3: Cross multiply
    71,294.40x = 106,912.80 × 24,523.20
  4. Step 4: Simplify right side
    71,294.40x = 2,621,843,976.96
  5. Step 5: Solve for x
    x = 2,621,843,976.96/71,294.40
  6. Step 6: Final answer
    x = 36,774.89

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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.