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Finding the Fourth Proportional to 41,097.68, 56,713.88 and 23,192.23

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Solution

The fourth proportional to 41,097.68, 56,713.88 and 23,192.23 is: 32,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.68 : 56,713.88 = 23,192.23 : x
  2. Step 2: Convert to fraction form
    41,097.68/56,713.88 = 23,192.23/x
  3. Step 3: Cross multiply
    41,097.68x = 56,713.88 × 23,192.23
  4. Step 4: Simplify right side
    41,097.68x = 1,315,320,949.62
  5. Step 5: Solve for x
    x = 1,315,320,949.62/41,097.68
  6. Step 6: Final answer
    x = 32,004.75

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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.