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Finding the Fourth Proportional to 78,161.58, 117,434.88 and 50,093.82

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Solution

The fourth proportional to 78,161.58, 117,434.88 and 50,093.82 is: 75,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.58 : 117,434.88 = 50,093.82 : x
  2. Step 2: Convert to fraction form
    78,161.58/117,434.88 = 50,093.82/x
  3. Step 3: Cross multiply
    78,161.58x = 117,434.88 × 50,093.82
  4. Step 4: Simplify right side
    78,161.58x = 5,882,761,740.44
  5. Step 5: Solve for x
    x = 5,882,761,740.44/78,161.58
  6. Step 6: Final answer
    x = 75,264.11

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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.