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Finding the Fourth Proportional to 27,168.06, 40,747.71 and 7,442

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Solution

The fourth proportional to 27,168.06, 40,747.71 and 7,442 is: 11,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168.06 : 40,747.71 = 7,442 : x
  2. Step 2: Convert to fraction form
    27,168.06/40,747.71 = 7,442/x
  3. Step 3: Cross multiply
    27,168.06x = 40,747.71 × 7,442
  4. Step 4: Simplify right side
    27,168.06x = 303,244,457.82
  5. Step 5: Solve for x
    x = 303,244,457.82/27,168.06
  6. Step 6: Final answer
    x = 11,161.80

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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.