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Finding the Fourth Proportional to 41,660.72, 57,473.52 and 24,884

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Solution

The fourth proportional to 41,660.72, 57,473.52 and 24,884 is: 34,329.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,660.72 : 57,473.52 = 24,884 : x
  2. Step 2: Convert to fraction form
    41,660.72/57,473.52 = 24,884/x
  3. Step 3: Cross multiply
    41,660.72x = 57,473.52 × 24,884
  4. Step 4: Simplify right side
    41,660.72x = 1,430,171,071.68
  5. Step 5: Solve for x
    x = 1,430,171,071.68/41,660.72
  6. Step 6: Final answer
    x = 34,329.01

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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.