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Finding the Fourth Proportional to 27,382.40, 37,861.44 and 23,883.20

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Solution

The fourth proportional to 27,382.40, 37,861.44 and 23,883.20 is: 33,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,382.40 : 37,861.44 = 23,883.20 : x
  2. Step 2: Convert to fraction form
    27,382.40/37,861.44 = 23,883.20/x
  3. Step 3: Cross multiply
    27,382.40x = 37,861.44 × 23,883.20
  4. Step 4: Simplify right side
    27,382.40x = 904,252,343.81
  5. Step 5: Solve for x
    x = 904,252,343.81/27,382.40
  6. Step 6: Final answer
    x = 33,023.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.