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Finding the Fourth Proportional to 38,282.32, 52,824.90 and 22,355.20

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Solution

The fourth proportional to 38,282.32, 52,824.90 and 22,355.20 is: 30,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282.32 : 52,824.90 = 22,355.20 : x
  2. Step 2: Convert to fraction form
    38,282.32/52,824.90 = 22,355.20/x
  3. Step 3: Cross multiply
    38,282.32x = 52,824.90 × 22,355.20
  4. Step 4: Simplify right side
    38,282.32x = 1,180,911,204.48
  5. Step 5: Solve for x
    x = 1,180,911,204.48/38,282.32
  6. Step 6: Final answer
    x = 30,847.43

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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.