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Finding the Fourth Proportional to 25,920, 38,912.67 and 22,049.01

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Solution

The fourth proportional to 25,920, 38,912.67 and 22,049.01 is: 33,101.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920 : 38,912.67 = 22,049.01 : x
  2. Step 2: Convert to fraction form
    25,920/38,912.67 = 22,049.01/x
  3. Step 3: Cross multiply
    25,920x = 38,912.67 × 22,049.01
  4. Step 4: Simplify right side
    25,920x = 857,985,849.96
  5. Step 5: Solve for x
    x = 857,985,849.96/25,920
  6. Step 6: Final answer
    x = 33,101.31

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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.