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Finding the Fourth Proportional to 38,193.60, 57,341.70 and 22,414.80

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Solution

The fourth proportional to 38,193.60, 57,341.70 and 22,414.80 is: 33,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,193.60 : 57,341.70 = 22,414.80 : x
  2. Step 2: Convert to fraction form
    38,193.60/57,341.70 = 22,414.80/x
  3. Step 3: Cross multiply
    38,193.60x = 57,341.70 × 22,414.80
  4. Step 4: Simplify right side
    38,193.60x = 1,285,302,737.16
  5. Step 5: Solve for x
    x = 1,285,302,737.16/38,193.60
  6. Step 6: Final answer
    x = 33,652.31

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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.