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Finding the Fourth Proportional to 38,255.52, 52,777.80 and 28,207.80

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Solution

The fourth proportional to 38,255.52, 52,777.80 and 28,207.80 is: 38,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,255.52 : 52,777.80 = 28,207.80 : x
  2. Step 2: Convert to fraction form
    38,255.52/52,777.80 = 28,207.80/x
  3. Step 3: Cross multiply
    38,255.52x = 52,777.80 × 28,207.80
  4. Step 4: Simplify right side
    38,255.52x = 1,488,745,626.84
  5. Step 5: Solve for x
    x = 1,488,745,626.84/38,255.52
  6. Step 6: Final answer
    x = 38,915.84

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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.