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Finding the Fourth Proportional to 38,351.28, 52,925 and 22,432.64

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Solution

The fourth proportional to 38,351.28, 52,925 and 22,432.64 is: 30,957.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351.28 : 52,925 = 22,432.64 : x
  2. Step 2: Convert to fraction form
    38,351.28/52,925 = 22,432.64/x
  3. Step 3: Cross multiply
    38,351.28x = 52,925 × 22,432.64
  4. Step 4: Simplify right side
    38,351.28x = 1,187,247,472
  5. Step 5: Solve for x
    x = 1,187,247,472/38,351.28
  6. Step 6: Final answer
    x = 30,957.18

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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.