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Finding the Fourth Proportional to 67,296, 100,875.60 and 27,874.56

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Solution

The fourth proportional to 67,296, 100,875.60 and 27,874.56 is: 41,783.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296 : 100,875.60 = 27,874.56 : x
  2. Step 2: Convert to fraction form
    67,296/100,875.60 = 27,874.56/x
  3. Step 3: Cross multiply
    67,296x = 100,875.60 × 27,874.56
  4. Step 4: Simplify right side
    67,296x = 2,811,862,964.74
  5. Step 5: Solve for x
    x = 2,811,862,964.74/67,296
  6. Step 6: Final answer
    x = 41,783.51

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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.