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Finding the Fourth Proportional to 40,960.50, 61,440.77 and 11,378.32

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Solution

The fourth proportional to 40,960.50, 61,440.77 and 11,378.32 is: 17,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,960.50 : 61,440.77 = 11,378.32 : x
  2. Step 2: Convert to fraction form
    40,960.50/61,440.77 = 11,378.32/x
  3. Step 3: Cross multiply
    40,960.50x = 61,440.77 × 11,378.32
  4. Step 4: Simplify right side
    40,960.50x = 699,092,742.11
  5. Step 5: Solve for x
    x = 699,092,742.11/40,960.50
  6. Step 6: Final answer
    x = 17,067.49

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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.