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Finding the Fourth Proportional to 31,049.50, 42,847.04 and 16,902.36

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Solution

The fourth proportional to 31,049.50, 42,847.04 and 16,902.36 is: 23,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.50 : 42,847.04 = 16,902.36 : x
  2. Step 2: Convert to fraction form
    31,049.50/42,847.04 = 16,902.36/x
  3. Step 3: Cross multiply
    31,049.50x = 42,847.04 × 16,902.36
  4. Step 4: Simplify right side
    31,049.50x = 724,216,095.01
  5. Step 5: Solve for x
    x = 724,216,095.01/31,049.50
  6. Step 6: Final answer
    x = 23,324.57

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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.