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Finding the Fourth Proportional to 30,705.97, 42,375.06 and 17,277.70

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Solution

The fourth proportional to 30,705.97, 42,375.06 and 17,277.70 is: 23,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.97 : 42,375.06 = 17,277.70 : x
  2. Step 2: Convert to fraction form
    30,705.97/42,375.06 = 17,277.70/x
  3. Step 3: Cross multiply
    30,705.97x = 42,375.06 × 17,277.70
  4. Step 4: Simplify right side
    30,705.97x = 732,143,468.22
  5. Step 5: Solve for x
    x = 732,143,468.22/30,705.97
  6. Step 6: Final answer
    x = 23,843.69

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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.