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Finding the Fourth Proportional to 41,776.32, 57,652 and 22,913.12

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Solution

The fourth proportional to 41,776.32, 57,652 and 22,913.12 is: 31,620.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,776.32 : 57,652 = 22,913.12 : x
  2. Step 2: Convert to fraction form
    41,776.32/57,652 = 22,913.12/x
  3. Step 3: Cross multiply
    41,776.32x = 57,652 × 22,913.12
  4. Step 4: Simplify right side
    41,776.32x = 1,320,987,194.24
  5. Step 5: Solve for x
    x = 1,320,987,194.24/41,776.32
  6. Step 6: Final answer
    x = 31,620.48

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