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Finding the Fourth Proportional to 76,138.95, 114,247.32 and 50,855.69

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Solution

The fourth proportional to 76,138.95, 114,247.32 and 50,855.69 is: 76,309.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138.95 : 114,247.32 = 50,855.69 : x
  2. Step 2: Convert to fraction form
    76,138.95/114,247.32 = 50,855.69/x
  3. Step 3: Cross multiply
    76,138.95x = 114,247.32 × 50,855.69
  4. Step 4: Simplify right side
    76,138.95x = 5,810,126,337.15
  5. Step 5: Solve for x
    x = 5,810,126,337.15/76,138.95
  6. Step 6: Final answer
    x = 76,309.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.