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Finding the Fourth Proportional to 80,410.84, 120,593.22 and 27,097

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Solution

The fourth proportional to 80,410.84, 120,593.22 and 27,097 is: 40,637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,410.84 : 120,593.22 = 27,097 : x
  2. Step 2: Convert to fraction form
    80,410.84/120,593.22 = 27,097/x
  3. Step 3: Cross multiply
    80,410.84x = 120,593.22 × 27,097
  4. Step 4: Simplify right side
    80,410.84x = 3,267,714,482.34
  5. Step 5: Solve for x
    x = 3,267,714,482.34/80,410.84
  6. Step 6: Final answer
    x = 40,637.74

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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.