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Finding the Fourth Proportional to 67,974.72, 101,900.64 and 24,188.48

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Solution

The fourth proportional to 67,974.72, 101,900.64 and 24,188.48 is: 36,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,974.72 : 101,900.64 = 24,188.48 : x
  2. Step 2: Convert to fraction form
    67,974.72/101,900.64 = 24,188.48/x
  3. Step 3: Cross multiply
    67,974.72x = 101,900.64 × 24,188.48
  4. Step 4: Simplify right side
    67,974.72x = 2,464,821,592.63
  5. Step 5: Solve for x
    x = 2,464,821,592.63/67,974.72
  6. Step 6: Final answer
    x = 36,260.86

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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.