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Finding the Fourth Proportional to 27,734.48, 38,192.96 and 24,099

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Solution

The fourth proportional to 27,734.48, 38,192.96 and 24,099 is: 33,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.48 : 38,192.96 = 24,099 : x
  2. Step 2: Convert to fraction form
    27,734.48/38,192.96 = 24,099/x
  3. Step 3: Cross multiply
    27,734.48x = 38,192.96 × 24,099
  4. Step 4: Simplify right side
    27,734.48x = 920,412,203.29
  5. Step 5: Solve for x
    x = 920,412,203.29/27,734.48
  6. Step 6: Final answer
    x = 33,186.56

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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.