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Finding the Fourth Proportional to 53,538.57, 73,898.43 and 32,319.20

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Solution

The fourth proportional to 53,538.57, 73,898.43 and 32,319.20 is: 44,609.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.57 : 73,898.43 = 32,319.20 : x
  2. Step 2: Convert to fraction form
    53,538.57/73,898.43 = 32,319.20/x
  3. Step 3: Cross multiply
    53,538.57x = 73,898.43 × 32,319.20
  4. Step 4: Simplify right side
    53,538.57x = 2,388,338,202.41
  5. Step 5: Solve for x
    x = 2,388,338,202.41/53,538.57
  6. Step 6: Final answer
    x = 44,609.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.