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Finding the Fourth Proportional to 57,874.30, 86,811.45 and 16,321.30

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Solution

The fourth proportional to 57,874.30, 86,811.45 and 16,321.30 is: 24,481.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.30 : 86,811.45 = 16,321.30 : x
  2. Step 2: Convert to fraction form
    57,874.30/86,811.45 = 16,321.30/x
  3. Step 3: Cross multiply
    57,874.30x = 86,811.45 × 16,321.30
  4. Step 4: Simplify right side
    57,874.30x = 1,416,875,718.89
  5. Step 5: Solve for x
    x = 1,416,875,718.89/57,874.30
  6. Step 6: Final answer
    x = 24,481.95

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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.