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Finding the Fourth Proportional to 32,163.87, 48,243.90 and 9,674.04

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Solution

The fourth proportional to 32,163.87, 48,243.90 and 9,674.04 is: 14,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.87 : 48,243.90 = 9,674.04 : x
  2. Step 2: Convert to fraction form
    32,163.87/48,243.90 = 9,674.04/x
  3. Step 3: Cross multiply
    32,163.87x = 48,243.90 × 9,674.04
  4. Step 4: Simplify right side
    32,163.87x = 466,713,418.36
  5. Step 5: Solve for x
    x = 466,713,418.36/32,163.87
  6. Step 6: Final answer
    x = 14,510.49

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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.