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Finding the Fourth Proportional to 74,251, 111,382.98 and 18,847

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Solution

The fourth proportional to 74,251, 111,382.98 and 18,847 is: 28,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,251 : 111,382.98 = 18,847 : x
  2. Step 2: Convert to fraction form
    74,251/111,382.98 = 18,847/x
  3. Step 3: Cross multiply
    74,251x = 111,382.98 × 18,847
  4. Step 4: Simplify right side
    74,251x = 2,099,235,024.06
  5. Step 5: Solve for x
    x = 2,099,235,024.06/74,251
  6. Step 6: Final answer
    x = 28,272.14

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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.