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Finding the Fourth Proportional to 41,378, 62,079.24 and 23,860.40

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Solution

The fourth proportional to 41,378, 62,079.24 and 23,860.40 is: 35,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,378 : 62,079.24 = 23,860.40 : x
  2. Step 2: Convert to fraction form
    41,378/62,079.24 = 23,860.40/x
  3. Step 3: Cross multiply
    41,378x = 62,079.24 × 23,860.40
  4. Step 4: Simplify right side
    41,378x = 1,481,235,498.10
  5. Step 5: Solve for x
    x = 1,481,235,498.10/41,378
  6. Step 6: Final answer
    x = 35,797.66

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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.