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Finding the Fourth Proportional to 53,535.67, 80,272.37 and 20,258.30

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Solution

The fourth proportional to 53,535.67, 80,272.37 and 20,258.30 is: 30,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,535.67 : 80,272.37 = 20,258.30 : x
  2. Step 2: Convert to fraction form
    53,535.67/80,272.37 = 20,258.30/x
  3. Step 3: Cross multiply
    53,535.67x = 80,272.37 × 20,258.30
  4. Step 4: Simplify right side
    53,535.67x = 1,626,181,753.17
  5. Step 5: Solve for x
    x = 1,626,181,753.17/53,535.67
  6. Step 6: Final answer
    x = 30,375.67

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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.