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Finding the Fourth Proportional to 52,202.75, 78,400.71 and 27,260.01

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Solution

The fourth proportional to 52,202.75, 78,400.71 and 27,260.01 is: 40,940.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,202.75 : 78,400.71 = 27,260.01 : x
  2. Step 2: Convert to fraction form
    52,202.75/78,400.71 = 27,260.01/x
  3. Step 3: Cross multiply
    52,202.75x = 78,400.71 × 27,260.01
  4. Step 4: Simplify right side
    52,202.75x = 2,137,204,138.61
  5. Step 5: Solve for x
    x = 2,137,204,138.61/52,202.75
  6. Step 6: Final answer
    x = 40,940.46

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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.