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Finding the Fourth Proportional to 41,314.21, 57,008.97 and 23,405.38

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Solution

The fourth proportional to 41,314.21, 57,008.97 and 23,405.38 is: 32,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,314.21 : 57,008.97 = 23,405.38 : x
  2. Step 2: Convert to fraction form
    41,314.21/57,008.97 = 23,405.38/x
  3. Step 3: Cross multiply
    41,314.21x = 57,008.97 × 23,405.38
  4. Step 4: Simplify right side
    41,314.21x = 1,334,316,463.74
  5. Step 5: Solve for x
    x = 1,334,316,463.74/41,314.21
  6. Step 6: Final answer
    x = 32,296.79

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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.