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Finding the Fourth Proportional to 32,169.19, 48,251.47 and 9,982

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Solution

The fourth proportional to 32,169.19, 48,251.47 and 9,982 is: 14,972.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.19 : 48,251.47 = 9,982 : x
  2. Step 2: Convert to fraction form
    32,169.19/48,251.47 = 9,982/x
  3. Step 3: Cross multiply
    32,169.19x = 48,251.47 × 9,982
  4. Step 4: Simplify right side
    32,169.19x = 481,646,173.54
  5. Step 5: Solve for x
    x = 481,646,173.54/32,169.19
  6. Step 6: Final answer
    x = 14,972.28

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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.