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Finding the Fourth Proportional to 35,578.50, 49,096.41 and 19,662

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Solution

The fourth proportional to 35,578.50, 49,096.41 and 19,662 is: 27,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.50 : 49,096.41 = 19,662 : x
  2. Step 2: Convert to fraction form
    35,578.50/49,096.41 = 19,662/x
  3. Step 3: Cross multiply
    35,578.50x = 49,096.41 × 19,662
  4. Step 4: Simplify right side
    35,578.50x = 965,333,613.42
  5. Step 5: Solve for x
    x = 965,333,613.42/35,578.50
  6. Step 6: Final answer
    x = 27,132.50

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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.