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Finding the Fourth Proportional to 78,616.77, 117,896.60 and 34,232.82

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Solution

The fourth proportional to 78,616.77, 117,896.60 and 34,232.82 is: 51,336.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,616.77 : 117,896.60 = 34,232.82 : x
  2. Step 2: Convert to fraction form
    78,616.77/117,896.60 = 34,232.82/x
  3. Step 3: Cross multiply
    78,616.77x = 117,896.60 × 34,232.82
  4. Step 4: Simplify right side
    78,616.77x = 4,035,933,171.99
  5. Step 5: Solve for x
    x = 4,035,933,171.99/78,616.77
  6. Step 6: Final answer
    x = 51,336.80

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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.