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Finding the Fourth Proportional to 32,178.28, 48,274.26 and 9,991.12

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Solution

The fourth proportional to 32,178.28, 48,274.26 and 9,991.12 is: 14,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,178.28 : 48,274.26 = 9,991.12 : x
  2. Step 2: Convert to fraction form
    32,178.28/48,274.26 = 9,991.12/x
  3. Step 3: Cross multiply
    32,178.28x = 48,274.26 × 9,991.12
  4. Step 4: Simplify right side
    32,178.28x = 482,313,924.57
  5. Step 5: Solve for x
    x = 482,313,924.57/32,178.28
  6. Step 6: Final answer
    x = 14,988.80

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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.