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Finding the Fourth Proportional to 45,832.20, 68,755.42 and 19,537

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Solution

The fourth proportional to 45,832.20, 68,755.42 and 19,537 is: 29,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,832.20 : 68,755.42 = 19,537 : x
  2. Step 2: Convert to fraction form
    45,832.20/68,755.42 = 19,537/x
  3. Step 3: Cross multiply
    45,832.20x = 68,755.42 × 19,537
  4. Step 4: Simplify right side
    45,832.20x = 1,343,274,640.54
  5. Step 5: Solve for x
    x = 1,343,274,640.54/45,832.20
  6. Step 6: Final answer
    x = 29,308.54

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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.