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Finding the Fourth Proportional to 38,209.20, 52,728.88 and 21,213.68

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Solution

The fourth proportional to 38,209.20, 52,728.88 and 21,213.68 is: 29,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209.20 : 52,728.88 = 21,213.68 : x
  2. Step 2: Convert to fraction form
    38,209.20/52,728.88 = 21,213.68/x
  3. Step 3: Cross multiply
    38,209.20x = 52,728.88 × 21,213.68
  4. Step 4: Simplify right side
    38,209.20x = 1,118,573,587.08
  5. Step 5: Solve for x
    x = 1,118,573,587.08/38,209.20
  6. Step 6: Final answer
    x = 29,274.98

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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.