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Finding the Fourth Proportional to 32,556, 48,834 and 7,932

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Solution

The fourth proportional to 32,556, 48,834 and 7,932 is: 11,898

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,556 : 48,834 = 7,932 : x
  2. Step 2: Convert to fraction form
    32,556/48,834 = 7,932/x
  3. Step 3: Cross multiply
    32,556x = 48,834 × 7,932
  4. Step 4: Simplify right side
    32,556x = 387,351,288
  5. Step 5: Solve for x
    x = 387,351,288/32,556
  6. Step 6: Final answer
    x = 11,898

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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.