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Finding the Fourth Proportional to 41,662.72, 57,476.28 and 24,886

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Solution

The fourth proportional to 41,662.72, 57,476.28 and 24,886 is: 34,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,662.72 : 57,476.28 = 24,886 : x
  2. Step 2: Convert to fraction form
    41,662.72/57,476.28 = 24,886/x
  3. Step 3: Cross multiply
    41,662.72x = 57,476.28 × 24,886
  4. Step 4: Simplify right side
    41,662.72x = 1,430,354,704.08
  5. Step 5: Solve for x
    x = 1,430,354,704.08/41,662.72
  6. Step 6: Final answer
    x = 34,331.76

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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.