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Finding the Fourth Proportional to 41,751.92, 62,629 and 10,589.60

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Solution

The fourth proportional to 41,751.92, 62,629 and 10,589.60 is: 15,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,751.92 : 62,629 = 10,589.60 : x
  2. Step 2: Convert to fraction form
    41,751.92/62,629 = 10,589.60/x
  3. Step 3: Cross multiply
    41,751.92x = 62,629 × 10,589.60
  4. Step 4: Simplify right side
    41,751.92x = 663,216,058.40
  5. Step 5: Solve for x
    x = 663,216,058.40/41,751.92
  6. Step 6: Final answer
    x = 15,884.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.