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Finding the Fourth Proportional to 39,704.72, 59,565.72 and 12,002

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Solution

The fourth proportional to 39,704.72, 59,565.72 and 12,002 is: 18,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,704.72 : 59,565.72 = 12,002 : x
  2. Step 2: Convert to fraction form
    39,704.72/59,565.72 = 12,002/x
  3. Step 3: Cross multiply
    39,704.72x = 59,565.72 × 12,002
  4. Step 4: Simplify right side
    39,704.72x = 714,907,771.44
  5. Step 5: Solve for x
    x = 714,907,771.44/39,704.72
  6. Step 6: Final answer
    x = 18,005.61

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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.