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Finding the Fourth Proportional to 70,826.00, 106,205.11 and 41,252.27

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Solution

The fourth proportional to 70,826.00, 106,205.11 and 41,252.27 is: 61,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,826.00 : 106,205.11 = 41,252.27 : x
  2. Step 2: Convert to fraction form
    70,826.00/106,205.11 = 41,252.27/x
  3. Step 3: Cross multiply
    70,826.00x = 106,205.11 × 41,252.27
  4. Step 4: Simplify right side
    70,826.00x = 4,381,201,238.94
  5. Step 5: Solve for x
    x = 4,381,201,238.94/70,826.00
  6. Step 6: Final answer
    x = 61,858.66

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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.