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Finding the Fourth Proportional to 71,067, 106,601.04 and 24,320.28

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Solution

The fourth proportional to 71,067, 106,601.04 and 24,320.28 is: 36,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,067 : 106,601.04 = 24,320.28 : x
  2. Step 2: Convert to fraction form
    71,067/106,601.04 = 24,320.28/x
  3. Step 3: Cross multiply
    71,067x = 106,601.04 × 24,320.28
  4. Step 4: Simplify right side
    71,067x = 2,592,567,141.09
  5. Step 5: Solve for x
    x = 2,592,567,141.09/71,067
  6. Step 6: Final answer
    x = 36,480.60

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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.