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Finding the Fourth Proportional to 35,648.20, 49,193.92 and 19,732.31

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Solution

The fourth proportional to 35,648.20, 49,193.92 and 19,732.31 is: 27,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.20 : 49,193.92 = 19,732.31 : x
  2. Step 2: Convert to fraction form
    35,648.20/49,193.92 = 19,732.31/x
  3. Step 3: Cross multiply
    35,648.20x = 49,193.92 × 19,732.31
  4. Step 4: Simplify right side
    35,648.20x = 970,709,334.92
  5. Step 5: Solve for x
    x = 970,709,334.92/35,648.20
  6. Step 6: Final answer
    x = 27,230.25

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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.