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Finding the Fourth Proportional to 41,396.86, 57,127.92 and 22,534

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Solution

The fourth proportional to 41,396.86, 57,127.92 and 22,534 is: 31,097.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,396.86 : 57,127.92 = 22,534 : x
  2. Step 2: Convert to fraction form
    41,396.86/57,127.92 = 22,534/x
  3. Step 3: Cross multiply
    41,396.86x = 57,127.92 × 22,534
  4. Step 4: Simplify right side
    41,396.86x = 1,287,320,549.28
  5. Step 5: Solve for x
    x = 1,287,320,549.28/41,396.86
  6. Step 6: Final answer
    x = 31,097.06

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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.