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Finding the Fourth Proportional to 54,738.40, 82,129.20 and 21,452.80

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Solution

The fourth proportional to 54,738.40, 82,129.20 and 21,452.80 is: 32,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738.40 : 82,129.20 = 21,452.80 : x
  2. Step 2: Convert to fraction form
    54,738.40/82,129.20 = 21,452.80/x
  3. Step 3: Cross multiply
    54,738.40x = 82,129.20 × 21,452.80
  4. Step 4: Simplify right side
    54,738.40x = 1,761,901,301.76
  5. Step 5: Solve for x
    x = 1,761,901,301.76/54,738.40
  6. Step 6: Final answer
    x = 32,187.67

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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.