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Finding the Fourth Proportional to 57,832.34, 86,749.12 and 20,385.43

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Solution

The fourth proportional to 57,832.34, 86,749.12 and 20,385.43 is: 30,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,832.34 : 86,749.12 = 20,385.43 : x
  2. Step 2: Convert to fraction form
    57,832.34/86,749.12 = 20,385.43/x
  3. Step 3: Cross multiply
    57,832.34x = 86,749.12 × 20,385.43
  4. Step 4: Simplify right side
    57,832.34x = 1,768,418,113.32
  5. Step 5: Solve for x
    x = 1,768,418,113.32/57,832.34
  6. Step 6: Final answer
    x = 30,578.36

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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.