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Finding the Fourth Proportional to 27,602.62, 41,399.72 and 10,072.48

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Solution

The fourth proportional to 27,602.62, 41,399.72 and 10,072.48 is: 15,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.62 : 41,399.72 = 10,072.48 : x
  2. Step 2: Convert to fraction form
    27,602.62/41,399.72 = 10,072.48/x
  3. Step 3: Cross multiply
    27,602.62x = 41,399.72 × 10,072.48
  4. Step 4: Simplify right side
    27,602.62x = 416,997,851.71
  5. Step 5: Solve for x
    x = 416,997,851.71/27,602.62
  6. Step 6: Final answer
    x = 15,107.18

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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.