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Finding the Fourth Proportional to 61,410.74, 84,745.82 and 34,553.22

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Solution

The fourth proportional to 61,410.74, 84,745.82 and 34,553.22 is: 47,682.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,410.74 : 84,745.82 = 34,553.22 : x
  2. Step 2: Convert to fraction form
    61,410.74/84,745.82 = 34,553.22/x
  3. Step 3: Cross multiply
    61,410.74x = 84,745.82 × 34,553.22
  4. Step 4: Simplify right side
    61,410.74x = 2,928,240,789.77
  5. Step 5: Solve for x
    x = 2,928,240,789.77/61,410.74
  6. Step 6: Final answer
    x = 47,682.88

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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.