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Finding the Fourth Proportional to 27,199.70, 40,796.31 and 7,480.26

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Solution

The fourth proportional to 27,199.70, 40,796.31 and 7,480.26 is: 11,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,199.70 : 40,796.31 = 7,480.26 : x
  2. Step 2: Convert to fraction form
    27,199.70/40,796.31 = 7,480.26/x
  3. Step 3: Cross multiply
    27,199.70x = 40,796.31 × 7,480.26
  4. Step 4: Simplify right side
    27,199.70x = 305,167,005.84
  5. Step 5: Solve for x
    x = 305,167,005.84/27,199.70
  6. Step 6: Final answer
    x = 11,219.50

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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.