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Finding the Fourth Proportional to 75,863.95, 113,697.51 and 50,866.54

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Solution

The fourth proportional to 75,863.95, 113,697.51 and 50,866.54 is: 76,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,863.95 : 113,697.51 = 50,866.54 : x
  2. Step 2: Convert to fraction form
    75,863.95/113,697.51 = 50,866.54/x
  3. Step 3: Cross multiply
    75,863.95x = 113,697.51 × 50,866.54
  4. Step 4: Simplify right side
    75,863.95x = 5,783,398,940.32
  5. Step 5: Solve for x
    x = 5,783,398,940.32/75,863.95
  6. Step 6: Final answer
    x = 76,233.82

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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.