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Finding the Fourth Proportional to 41,287.52, 62,004 and 30,760.40

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Solution

The fourth proportional to 41,287.52, 62,004 and 30,760.40 is: 46,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,287.52 : 62,004 = 30,760.40 : x
  2. Step 2: Convert to fraction form
    41,287.52/62,004 = 30,760.40/x
  3. Step 3: Cross multiply
    41,287.52x = 62,004 × 30,760.40
  4. Step 4: Simplify right side
    41,287.52x = 1,907,267,841.60
  5. Step 5: Solve for x
    x = 1,907,267,841.60/41,287.52
  6. Step 6: Final answer
    x = 46,194.78

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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.