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Finding the Fourth Proportional to 31,922, 47,883 and 10,034

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Solution

The fourth proportional to 31,922, 47,883 and 10,034 is: 15,051

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922 : 47,883 = 10,034 : x
  2. Step 2: Convert to fraction form
    31,922/47,883 = 10,034/x
  3. Step 3: Cross multiply
    31,922x = 47,883 × 10,034
  4. Step 4: Simplify right side
    31,922x = 480,458,022
  5. Step 5: Solve for x
    x = 480,458,022/31,922
  6. Step 6: Final answer
    x = 15,051

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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.