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Finding the Fourth Proportional to 78,093.20, 117,122.25 and 35,932.84

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Solution

The fourth proportional to 78,093.20, 117,122.25 and 35,932.84 is: 53,891.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093.20 : 117,122.25 = 35,932.84 : x
  2. Step 2: Convert to fraction form
    78,093.20/117,122.25 = 35,932.84/x
  3. Step 3: Cross multiply
    78,093.20x = 117,122.25 × 35,932.84
  4. Step 4: Simplify right side
    78,093.20x = 4,208,535,069.69
  5. Step 5: Solve for x
    x = 4,208,535,069.69/78,093.20
  6. Step 6: Final answer
    x = 53,891.18

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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.