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Finding the Fourth Proportional to 29,727.28, 44,592.50 and 7,540.86

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Solution

The fourth proportional to 29,727.28, 44,592.50 and 7,540.86 is: 11,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,727.28 : 44,592.50 = 7,540.86 : x
  2. Step 2: Convert to fraction form
    29,727.28/44,592.50 = 7,540.86/x
  3. Step 3: Cross multiply
    29,727.28x = 44,592.50 × 7,540.86
  4. Step 4: Simplify right side
    29,727.28x = 336,265,799.55
  5. Step 5: Solve for x
    x = 336,265,799.55/29,727.28
  6. Step 6: Final answer
    x = 11,311.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.