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Finding the Fourth Proportional to 32,197.80, 48,231.90 and 22,348.20

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Solution

The fourth proportional to 32,197.80, 48,231.90 and 22,348.20 is: 33,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,197.80 : 48,231.90 = 22,348.20 : x
  2. Step 2: Convert to fraction form
    32,197.80/48,231.90 = 22,348.20/x
  3. Step 3: Cross multiply
    32,197.80x = 48,231.90 × 22,348.20
  4. Step 4: Simplify right side
    32,197.80x = 1,077,896,147.58
  5. Step 5: Solve for x
    x = 1,077,896,147.58/32,197.80
  6. Step 6: Final answer
    x = 33,477.32

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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.