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Finding the Fourth Proportional to 32,494.44, 48,743.38 and 9,122.70

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Solution

The fourth proportional to 32,494.44, 48,743.38 and 9,122.70 is: 13,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,494.44 : 48,743.38 = 9,122.70 : x
  2. Step 2: Convert to fraction form
    32,494.44/48,743.38 = 9,122.70/x
  3. Step 3: Cross multiply
    32,494.44x = 48,743.38 × 9,122.70
  4. Step 4: Simplify right side
    32,494.44x = 444,671,232.73
  5. Step 5: Solve for x
    x = 444,671,232.73/32,494.44
  6. Step 6: Final answer
    x = 13,684.53

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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.