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Finding the Fourth Proportional to 27,048, 40,572.16 and 7,325.12

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Solution

The fourth proportional to 27,048, 40,572.16 and 7,325.12 is: 10,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 40,572.16 = 7,325.12 : x
  2. Step 2: Convert to fraction form
    27,048/40,572.16 = 7,325.12/x
  3. Step 3: Cross multiply
    27,048x = 40,572.16 × 7,325.12
  4. Step 4: Simplify right side
    27,048x = 297,195,940.66
  5. Step 5: Solve for x
    x = 297,195,940.66/27,048
  6. Step 6: Final answer
    x = 10,987.72

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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.