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Finding the Fourth Proportional to 40,928, 56,480.64 and 23,264

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Solution

The fourth proportional to 40,928, 56,480.64 and 23,264 is: 32,104.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,928 : 56,480.64 = 23,264 : x
  2. Step 2: Convert to fraction form
    40,928/56,480.64 = 23,264/x
  3. Step 3: Cross multiply
    40,928x = 56,480.64 × 23,264
  4. Step 4: Simplify right side
    40,928x = 1,313,965,608.96
  5. Step 5: Solve for x
    x = 1,313,965,608.96/40,928
  6. Step 6: Final answer
    x = 32,104.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.