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Finding the Fourth Proportional to 68,049.65, 102,076.77 and 52,278.65

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Solution

The fourth proportional to 68,049.65, 102,076.77 and 52,278.65 is: 78,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,049.65 : 102,076.77 = 52,278.65 : x
  2. Step 2: Convert to fraction form
    68,049.65/102,076.77 = 52,278.65/x
  3. Step 3: Cross multiply
    68,049.65x = 102,076.77 × 52,278.65
  4. Step 4: Simplify right side
    68,049.65x = 5,336,435,731.96
  5. Step 5: Solve for x
    x = 5,336,435,731.96/68,049.65
  6. Step 6: Final answer
    x = 78,419.74

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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.