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Finding the Fourth Proportional to 32,616, 48,924 and 7,992

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Solution

The fourth proportional to 32,616, 48,924 and 7,992 is: 11,988

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616 : 48,924 = 7,992 : x
  2. Step 2: Convert to fraction form
    32,616/48,924 = 7,992/x
  3. Step 3: Cross multiply
    32,616x = 48,924 × 7,992
  4. Step 4: Simplify right side
    32,616x = 391,000,608
  5. Step 5: Solve for x
    x = 391,000,608/32,616
  6. Step 6: Final answer
    x = 11,988

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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.