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Finding the Fourth Proportional to 49,242.50, 67,956.30 and 28,023.14

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Solution

The fourth proportional to 49,242.50, 67,956.30 and 28,023.14 is: 38,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,242.50 : 67,956.30 = 28,023.14 : x
  2. Step 2: Convert to fraction form
    49,242.50/67,956.30 = 28,023.14/x
  3. Step 3: Cross multiply
    49,242.50x = 67,956.30 × 28,023.14
  4. Step 4: Simplify right side
    49,242.50x = 1,904,348,908.78
  5. Step 5: Solve for x
    x = 1,904,348,908.78/49,242.50
  6. Step 6: Final answer
    x = 38,672.87

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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.