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Finding the Fourth Proportional to 32,163.90, 48,243.12 and 9,976.80

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Solution

The fourth proportional to 32,163.90, 48,243.12 and 9,976.80 is: 14,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.90 : 48,243.12 = 9,976.80 : x
  2. Step 2: Convert to fraction form
    32,163.90/48,243.12 = 9,976.80/x
  3. Step 3: Cross multiply
    32,163.90x = 48,243.12 × 9,976.80
  4. Step 4: Simplify right side
    32,163.90x = 481,311,959.62
  5. Step 5: Solve for x
    x = 481,311,959.62/32,163.90
  6. Step 6: Final answer
    x = 14,964.35

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1.5x scale

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.