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Finding the Fourth Proportional to 38,200.80, 57,309.30 and 11,544.60

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Solution

The fourth proportional to 38,200.80, 57,309.30 and 11,544.60 is: 17,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.80 : 57,309.30 = 11,544.60 : x
  2. Step 2: Convert to fraction form
    38,200.80/57,309.30 = 11,544.60/x
  3. Step 3: Cross multiply
    38,200.80x = 57,309.30 × 11,544.60
  4. Step 4: Simplify right side
    38,200.80x = 661,612,944.78
  5. Step 5: Solve for x
    x = 661,612,944.78/38,200.80
  6. Step 6: Final answer
    x = 17,319.35

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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.