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Finding the Fourth Proportional to 77,184.56, 115,776.54 and 50,697.68

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Solution

The fourth proportional to 77,184.56, 115,776.54 and 50,697.68 is: 76,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,184.56 : 115,776.54 = 50,697.68 : x
  2. Step 2: Convert to fraction form
    77,184.56/115,776.54 = 50,697.68/x
  3. Step 3: Cross multiply
    77,184.56x = 115,776.54 × 50,697.68
  4. Step 4: Simplify right side
    77,184.56x = 5,869,601,976.43
  5. Step 5: Solve for x
    x = 5,869,601,976.43/77,184.56
  6. Step 6: Final answer
    x = 76,046.32

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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.