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Finding the Fourth Proportional to 32,885, 49,327.52 and 10,997

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Solution

The fourth proportional to 32,885, 49,327.52 and 10,997 is: 16,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,885 : 49,327.52 = 10,997 : x
  2. Step 2: Convert to fraction form
    32,885/49,327.52 = 10,997/x
  3. Step 3: Cross multiply
    32,885x = 49,327.52 × 10,997
  4. Step 4: Simplify right side
    32,885x = 542,454,737.44
  5. Step 5: Solve for x
    x = 542,454,737.44/32,885
  6. Step 6: Final answer
    x = 16,495.51

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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.