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Finding the Fourth Proportional to 35,711.30, 49,282.16 and 19,578.42

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Solution

The fourth proportional to 35,711.30, 49,282.16 and 19,578.42 is: 27,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.30 : 49,282.16 = 19,578.42 : x
  2. Step 2: Convert to fraction form
    35,711.30/49,282.16 = 19,578.42/x
  3. Step 3: Cross multiply
    35,711.30x = 49,282.16 × 19,578.42
  4. Step 4: Simplify right side
    35,711.30x = 964,866,729.10
  5. Step 5: Solve for x
    x = 964,866,729.10/35,711.30
  6. Step 6: Final answer
    x = 27,018.53

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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.