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Finding the Fourth Proportional to 31,764, 47,646 and 13,296

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Solution

The fourth proportional to 31,764, 47,646 and 13,296 is: 19,944

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,764 : 47,646 = 13,296 : x
  2. Step 2: Convert to fraction form
    31,764/47,646 = 13,296/x
  3. Step 3: Cross multiply
    31,764x = 47,646 × 13,296
  4. Step 4: Simplify right side
    31,764x = 633,501,216
  5. Step 5: Solve for x
    x = 633,501,216/31,764
  6. Step 6: Final answer
    x = 19,944

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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.