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Finding the Fourth Proportional to 48,902.67, 73,363.41 and 20,822.19

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Solution

The fourth proportional to 48,902.67, 73,363.41 and 20,822.19 is: 31,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902.67 : 73,363.41 = 20,822.19 : x
  2. Step 2: Convert to fraction form
    48,902.67/73,363.41 = 20,822.19/x
  3. Step 3: Cross multiply
    48,902.67x = 73,363.41 × 20,822.19
  4. Step 4: Simplify right side
    48,902.67x = 1,527,586,862.07
  5. Step 5: Solve for x
    x = 1,527,586,862.07/48,902.67
  6. Step 6: Final answer
    x = 31,237.29

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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.