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Finding the Fourth Proportional to 32,168.19, 48,249.97 and 9,981

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Solution

The fourth proportional to 32,168.19, 48,249.97 and 9,981 is: 14,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,168.19 : 48,249.97 = 9,981 : x
  2. Step 2: Convert to fraction form
    32,168.19/48,249.97 = 9,981/x
  3. Step 3: Cross multiply
    32,168.19x = 48,249.97 × 9,981
  4. Step 4: Simplify right side
    32,168.19x = 481,582,950.57
  5. Step 5: Solve for x
    x = 481,582,950.57/32,168.19
  6. Step 6: Final answer
    x = 14,970.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.