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Finding the Fourth Proportional to 33,888.96, 50,814 and 31,932

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Solution

The fourth proportional to 33,888.96, 50,814 and 31,932 is: 47,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,888.96 : 50,814 = 31,932 : x
  2. Step 2: Convert to fraction form
    33,888.96/50,814 = 31,932/x
  3. Step 3: Cross multiply
    33,888.96x = 50,814 × 31,932
  4. Step 4: Simplify right side
    33,888.96x = 1,622,592,648
  5. Step 5: Solve for x
    x = 1,622,592,648/33,888.96
  6. Step 6: Final answer
    x = 47,879.68

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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.