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Finding the Fourth Proportional to 73,878.28, 110,866.04 and 27,131.56

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Solution

The fourth proportional to 73,878.28, 110,866.04 and 27,131.56 is: 40,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.28 : 110,866.04 = 27,131.56 : x
  2. Step 2: Convert to fraction form
    73,878.28/110,866.04 = 27,131.56/x
  3. Step 3: Cross multiply
    73,878.28x = 110,866.04 × 27,131.56
  4. Step 4: Simplify right side
    73,878.28x = 3,007,968,616.22
  5. Step 5: Solve for x
    x = 3,007,968,616.22/73,878.28
  6. Step 6: Final answer
    x = 40,715.20

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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.