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Finding the Fourth Proportional to 37,321.64, 55,927.10 and 27,412.48

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Solution

The fourth proportional to 37,321.64, 55,927.10 and 27,412.48 is: 41,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,321.64 : 55,927.10 = 27,412.48 : x
  2. Step 2: Convert to fraction form
    37,321.64/55,927.10 = 27,412.48/x
  3. Step 3: Cross multiply
    37,321.64x = 55,927.10 × 27,412.48
  4. Step 4: Simplify right side
    37,321.64x = 1,533,100,578.74
  5. Step 5: Solve for x
    x = 1,533,100,578.74/37,321.64
  6. Step 6: Final answer
    x = 41,078.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.