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Finding the Fourth Proportional to 39,676, 54,752.88 and 22,012

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Solution

The fourth proportional to 39,676, 54,752.88 and 22,012 is: 30,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676 : 54,752.88 = 22,012 : x
  2. Step 2: Convert to fraction form
    39,676/54,752.88 = 22,012/x
  3. Step 3: Cross multiply
    39,676x = 54,752.88 × 22,012
  4. Step 4: Simplify right side
    39,676x = 1,205,220,394.56
  5. Step 5: Solve for x
    x = 1,205,220,394.56/39,676
  6. Step 6: Final answer
    x = 30,376.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.