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Finding the Fourth Proportional to 35,882.68, 49,518.46 and 19,751.80

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Solution

The fourth proportional to 35,882.68, 49,518.46 and 19,751.80 is: 27,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,882.68 : 49,518.46 = 19,751.80 : x
  2. Step 2: Convert to fraction form
    35,882.68/49,518.46 = 19,751.80/x
  3. Step 3: Cross multiply
    35,882.68x = 49,518.46 × 19,751.80
  4. Step 4: Simplify right side
    35,882.68x = 978,078,718.23
  5. Step 5: Solve for x
    x = 978,078,718.23/35,882.68
  6. Step 6: Final answer
    x = 27,257.68

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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.