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Finding the Fourth Proportional to 32,161.28, 48,246.59 and 9,976.44

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Solution

The fourth proportional to 32,161.28, 48,246.59 and 9,976.44 is: 14,966.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,161.28 : 48,246.59 = 9,976.44 : x
  2. Step 2: Convert to fraction form
    32,161.28/48,246.59 = 9,976.44/x
  3. Step 3: Cross multiply
    32,161.28x = 48,246.59 × 9,976.44
  4. Step 4: Simplify right side
    32,161.28x = 481,329,210.34
  5. Step 5: Solve for x
    x = 481,329,210.34/32,161.28
  6. Step 6: Final answer
    x = 14,966.11

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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.