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Finding the Fourth Proportional to 32,206.20, 48,255.88 and 22,799.76

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Solution

The fourth proportional to 32,206.20, 48,255.88 and 22,799.76 is: 34,161.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.20 : 48,255.88 = 22,799.76 : x
  2. Step 2: Convert to fraction form
    32,206.20/48,255.88 = 22,799.76/x
  3. Step 3: Cross multiply
    32,206.20x = 48,255.88 × 22,799.76
  4. Step 4: Simplify right side
    32,206.20x = 1,100,222,482.59
  5. Step 5: Solve for x
    x = 1,100,222,482.59/32,206.20
  6. Step 6: Final answer
    x = 34,161.82

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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.