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Finding the Fourth Proportional to 38,189.60, 57,335.70 and 22,410.80

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Solution

The fourth proportional to 38,189.60, 57,335.70 and 22,410.80 is: 33,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,189.60 : 57,335.70 = 22,410.80 : x
  2. Step 2: Convert to fraction form
    38,189.60/57,335.70 = 22,410.80/x
  3. Step 3: Cross multiply
    38,189.60x = 57,335.70 × 22,410.80
  4. Step 4: Simplify right side
    38,189.60x = 1,284,938,905.56
  5. Step 5: Solve for x
    x = 1,284,938,905.56/38,189.60
  6. Step 6: Final answer
    x = 33,646.30

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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.