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Finding the Fourth Proportional to 36,745.78, 50,708.82 and 19,978.78

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Solution

The fourth proportional to 36,745.78, 50,708.82 and 19,978.78 is: 27,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,745.78 : 50,708.82 = 19,978.78 : x
  2. Step 2: Convert to fraction form
    36,745.78/50,708.82 = 19,978.78/x
  3. Step 3: Cross multiply
    36,745.78x = 50,708.82 × 19,978.78
  4. Step 4: Simplify right side
    36,745.78x = 1,013,100,358.84
  5. Step 5: Solve for x
    x = 1,013,100,358.84/36,745.78
  6. Step 6: Final answer
    x = 27,570.52

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1.5x scale

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.