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Finding the Fourth Proportional to 38,647.48, 57,942.84 and 12,337.04

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Solution

The fourth proportional to 38,647.48, 57,942.84 and 12,337.04 is: 18,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,647.48 : 57,942.84 = 12,337.04 : x
  2. Step 2: Convert to fraction form
    38,647.48/57,942.84 = 12,337.04/x
  3. Step 3: Cross multiply
    38,647.48x = 57,942.84 × 12,337.04
  4. Step 4: Simplify right side
    38,647.48x = 714,843,134.79
  5. Step 5: Solve for x
    x = 714,843,134.79/38,647.48
  6. Step 6: Final answer
    x = 18,496.50

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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.