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Finding the Fourth Proportional to 49,135.34, 67,802.48 and 27,327.44

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Solution

The fourth proportional to 49,135.34, 67,802.48 and 27,327.44 is: 37,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,135.34 : 67,802.48 = 27,327.44 : x
  2. Step 2: Convert to fraction form
    49,135.34/67,802.48 = 27,327.44/x
  3. Step 3: Cross multiply
    49,135.34x = 67,802.48 × 27,327.44
  4. Step 4: Simplify right side
    49,135.34x = 1,852,868,204.05
  5. Step 5: Solve for x
    x = 1,852,868,204.05/49,135.34
  6. Step 6: Final answer
    x = 37,709.48

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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.