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Finding the Fourth Proportional to 73,164.53, 109,696.85 and 35,193.76

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Solution

The fourth proportional to 73,164.53, 109,696.85 and 35,193.76 is: 52,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.53 : 109,696.85 = 35,193.76 : x
  2. Step 2: Convert to fraction form
    73,164.53/109,696.85 = 35,193.76/x
  3. Step 3: Cross multiply
    73,164.53x = 109,696.85 × 35,193.76
  4. Step 4: Simplify right side
    73,164.53x = 3,860,643,887.20
  5. Step 5: Solve for x
    x = 3,860,643,887.20/73,164.53
  6. Step 6: Final answer
    x = 52,766.61

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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.