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Finding the Fourth Proportional to 27,097.25, 40,648.62 and 10,226.03

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Solution

The fourth proportional to 27,097.25, 40,648.62 and 10,226.03 is: 15,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,097.25 : 40,648.62 = 10,226.03 : x
  2. Step 2: Convert to fraction form
    27,097.25/40,648.62 = 10,226.03/x
  3. Step 3: Cross multiply
    27,097.25x = 40,648.62 × 10,226.03
  4. Step 4: Simplify right side
    27,097.25x = 415,674,007.58
  5. Step 5: Solve for x
    x = 415,674,007.58/27,097.25
  6. Step 6: Final answer
    x = 15,340.08

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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.