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Finding the Fourth Proportional to 52,625.70, 78,980.47 and 27,680.33

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Solution

The fourth proportional to 52,625.70, 78,980.47 and 27,680.33 is: 41,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,625.70 : 78,980.47 = 27,680.33 : x
  2. Step 2: Convert to fraction form
    52,625.70/78,980.47 = 27,680.33/x
  3. Step 3: Cross multiply
    52,625.70x = 78,980.47 × 27,680.33
  4. Step 4: Simplify right side
    52,625.70x = 2,186,205,601.41
  5. Step 5: Solve for x
    x = 2,186,205,601.41/52,625.70
  6. Step 6: Final answer
    x = 41,542.55

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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.