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Finding the Fourth Proportional to 36,863.92, 55,325.04 and 16,102

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Solution

The fourth proportional to 36,863.92, 55,325.04 and 16,102 is: 24,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,863.92 : 55,325.04 = 16,102 : x
  2. Step 2: Convert to fraction form
    36,863.92/55,325.04 = 16,102/x
  3. Step 3: Cross multiply
    36,863.92x = 55,325.04 × 16,102
  4. Step 4: Simplify right side
    36,863.92x = 890,843,794.08
  5. Step 5: Solve for x
    x = 890,843,794.08/36,863.92
  6. Step 6: Final answer
    x = 24,165.74

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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.