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Finding the Fourth Proportional to 78,410.91, 108,183.22 and 44,414.00

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Solution

The fourth proportional to 78,410.91, 108,183.22 and 44,414.00 is: 61,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.91 : 108,183.22 = 44,414.00 : x
  2. Step 2: Convert to fraction form
    78,410.91/108,183.22 = 44,414.00/x
  3. Step 3: Cross multiply
    78,410.91x = 108,183.22 × 44,414.00
  4. Step 4: Simplify right side
    78,410.91x = 4,804,848,881.13
  5. Step 5: Solve for x
    x = 4,804,848,881.13/78,410.91
  6. Step 6: Final answer
    x = 61,277.81

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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.