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Finding the Fourth Proportional to 38,351.30, 52,912.10 and 22,424.47

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Solution

The fourth proportional to 38,351.30, 52,912.10 and 22,424.47 is: 30,938.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351.30 : 52,912.10 = 22,424.47 : x
  2. Step 2: Convert to fraction form
    38,351.30/52,912.10 = 22,424.47/x
  3. Step 3: Cross multiply
    38,351.30x = 52,912.10 × 22,424.47
  4. Step 4: Simplify right side
    38,351.30x = 1,186,525,722.87
  5. Step 5: Solve for x
    x = 1,186,525,722.87/38,351.30
  6. Step 6: Final answer
    x = 30,938.35

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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.