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Finding the Fourth Proportional to 38,427.60, 57,468.60 and 32,206.80

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Solution

The fourth proportional to 38,427.60, 57,468.60 and 32,206.80 is: 48,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427.60 : 57,468.60 = 32,206.80 : x
  2. Step 2: Convert to fraction form
    38,427.60/57,468.60 = 32,206.80/x
  3. Step 3: Cross multiply
    38,427.60x = 57,468.60 × 32,206.80
  4. Step 4: Simplify right side
    38,427.60x = 1,850,879,706.48
  5. Step 5: Solve for x
    x = 1,850,879,706.48/38,427.60
  6. Step 6: Final answer
    x = 48,165.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.