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Finding the Fourth Proportional to 39,027, 58,493.76 and 20,032.14

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Solution

The fourth proportional to 39,027, 58,493.76 and 20,032.14 is: 30,024.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,027 : 58,493.76 = 20,032.14 : x
  2. Step 2: Convert to fraction form
    39,027/58,493.76 = 20,032.14/x
  3. Step 3: Cross multiply
    39,027x = 58,493.76 × 20,032.14
  4. Step 4: Simplify right side
    39,027x = 1,171,755,189.45
  5. Step 5: Solve for x
    x = 1,171,755,189.45/39,027
  6. Step 6: Final answer
    x = 30,024.22

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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.