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Finding the Fourth Proportional to 78,115.50, 117,193.23 and 22,711.50

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Solution

The fourth proportional to 78,115.50, 117,193.23 and 22,711.50 is: 34,073.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,115.50 : 117,193.23 = 22,711.50 : x
  2. Step 2: Convert to fraction form
    78,115.50/117,193.23 = 22,711.50/x
  3. Step 3: Cross multiply
    78,115.50x = 117,193.23 × 22,711.50
  4. Step 4: Simplify right side
    78,115.50x = 2,661,634,043.15
  5. Step 5: Solve for x
    x = 2,661,634,043.15/78,115.50
  6. Step 6: Final answer
    x = 34,073.06

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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.