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Finding the Fourth Proportional to 32,967.80, 49,438.38 and 20,469.32

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Solution

The fourth proportional to 32,967.80, 49,438.38 and 20,469.32 is: 30,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.80 : 49,438.38 = 20,469.32 : x
  2. Step 2: Convert to fraction form
    32,967.80/49,438.38 = 20,469.32/x
  3. Step 3: Cross multiply
    32,967.80x = 49,438.38 × 20,469.32
  4. Step 4: Simplify right side
    32,967.80x = 1,011,970,020.50
  5. Step 5: Solve for x
    x = 1,011,970,020.50/32,967.80
  6. Step 6: Final answer
    x = 30,695.71

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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.