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Finding the Fourth Proportional to 38,542.40, 57,824.40 and 18,821.60

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Solution

The fourth proportional to 38,542.40, 57,824.40 and 18,821.60 is: 28,237.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.40 : 57,824.40 = 18,821.60 : x
  2. Step 2: Convert to fraction form
    38,542.40/57,824.40 = 18,821.60/x
  3. Step 3: Cross multiply
    38,542.40x = 57,824.40 × 18,821.60
  4. Step 4: Simplify right side
    38,542.40x = 1,088,347,727.04
  5. Step 5: Solve for x
    x = 1,088,347,727.04/38,542.40
  6. Step 6: Final answer
    x = 28,237.67

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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.