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Finding the Fourth Proportional to 47,703.78, 65,826.81 and 26,481.78

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Solution

The fourth proportional to 47,703.78, 65,826.81 and 26,481.78 is: 36,542.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.78 : 65,826.81 = 26,481.78 : x
  2. Step 2: Convert to fraction form
    47,703.78/65,826.81 = 26,481.78/x
  3. Step 3: Cross multiply
    47,703.78x = 65,826.81 × 26,481.78
  4. Step 4: Simplify right side
    47,703.78x = 1,743,211,100.52
  5. Step 5: Solve for x
    x = 1,743,211,100.52/47,703.78
  6. Step 6: Final answer
    x = 36,542.41

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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.