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Finding the Fourth Proportional to 41,614.23, 57,423.14 and 24,619.11

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Solution

The fourth proportional to 41,614.23, 57,423.14 and 24,619.11 is: 33,971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,614.23 : 57,423.14 = 24,619.11 : x
  2. Step 2: Convert to fraction form
    41,614.23/57,423.14 = 24,619.11/x
  3. Step 3: Cross multiply
    41,614.23x = 57,423.14 × 24,619.11
  4. Step 4: Simplify right side
    41,614.23x = 1,413,706,477.11
  5. Step 5: Solve for x
    x = 1,413,706,477.11/41,614.23
  6. Step 6: Final answer
    x = 33,971.71

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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.