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Finding the Fourth Proportional to 38,758.50, 58,138.20 and 12,463.20

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Solution

The fourth proportional to 38,758.50, 58,138.20 and 12,463.20 is: 18,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,758.50 : 58,138.20 = 12,463.20 : x
  2. Step 2: Convert to fraction form
    38,758.50/58,138.20 = 12,463.20/x
  3. Step 3: Cross multiply
    38,758.50x = 58,138.20 × 12,463.20
  4. Step 4: Simplify right side
    38,758.50x = 724,588,014.24
  5. Step 5: Solve for x
    x = 724,588,014.24/38,758.50
  6. Step 6: Final answer
    x = 18,694.94

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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.