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Finding the Fourth Proportional to 41,204.84, 56,847.78 and 27,065.32

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Solution

The fourth proportional to 41,204.84, 56,847.78 and 27,065.32 is: 37,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,204.84 : 56,847.78 = 27,065.32 : x
  2. Step 2: Convert to fraction form
    41,204.84/56,847.78 = 27,065.32/x
  3. Step 3: Cross multiply
    41,204.84x = 56,847.78 × 27,065.32
  4. Step 4: Simplify right side
    41,204.84x = 1,538,603,356.99
  5. Step 5: Solve for x
    x = 1,538,603,356.99/41,204.84
  6. Step 6: Final answer
    x = 37,340.36

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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.