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Finding the Fourth Proportional to 37,796.84, 56,675.82 and 17,009

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Solution

The fourth proportional to 37,796.84, 56,675.82 and 17,009 is: 25,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,796.84 : 56,675.82 = 17,009 : x
  2. Step 2: Convert to fraction form
    37,796.84/56,675.82 = 17,009/x
  3. Step 3: Cross multiply
    37,796.84x = 56,675.82 × 17,009
  4. Step 4: Simplify right side
    37,796.84x = 963,999,022.38
  5. Step 5: Solve for x
    x = 963,999,022.38/37,796.84
  6. Step 6: Final answer
    x = 25,504.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.