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Finding the Fourth Proportional to 35,857.86, 49,483.17 and 19,942.17

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Solution

The fourth proportional to 35,857.86, 49,483.17 and 19,942.17 is: 27,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.86 : 49,483.17 = 19,942.17 : x
  2. Step 2: Convert to fraction form
    35,857.86/49,483.17 = 19,942.17/x
  3. Step 3: Cross multiply
    35,857.86x = 49,483.17 × 19,942.17
  4. Step 4: Simplify right side
    35,857.86x = 986,801,788.28
  5. Step 5: Solve for x
    x = 986,801,788.28/35,857.86
  6. Step 6: Final answer
    x = 27,519.82

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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.