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Finding the Fourth Proportional to 35,758.24, 49,344 and 19,841.68

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Solution

The fourth proportional to 35,758.24, 49,344 and 19,841.68 is: 27,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,758.24 : 49,344 = 19,841.68 : x
  2. Step 2: Convert to fraction form
    35,758.24/49,344 = 19,841.68/x
  3. Step 3: Cross multiply
    35,758.24x = 49,344 × 19,841.68
  4. Step 4: Simplify right side
    35,758.24x = 979,067,857.92
  5. Step 5: Solve for x
    x = 979,067,857.92/35,758.24
  6. Step 6: Final answer
    x = 27,380.20

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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.