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Finding the Fourth Proportional to 49,365, 68,125.34 and 27,009

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Solution

The fourth proportional to 49,365, 68,125.34 and 27,009 is: 37,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,365 : 68,125.34 = 27,009 : x
  2. Step 2: Convert to fraction form
    49,365/68,125.34 = 27,009/x
  3. Step 3: Cross multiply
    49,365x = 68,125.34 × 27,009
  4. Step 4: Simplify right side
    49,365x = 1,839,997,308.06
  5. Step 5: Solve for x
    x = 1,839,997,308.06/49,365
  6. Step 6: Final answer
    x = 37,273.32

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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.