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Finding the Fourth Proportional to 77,684.50, 107,204.73 and 44,150.50

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Solution

The fourth proportional to 77,684.50, 107,204.73 and 44,150.50 is: 60,927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,684.50 : 107,204.73 = 44,150.50 : x
  2. Step 2: Convert to fraction form
    77,684.50/107,204.73 = 44,150.50/x
  3. Step 3: Cross multiply
    77,684.50x = 107,204.73 × 44,150.50
  4. Step 4: Simplify right side
    77,684.50x = 4,733,142,431.87
  5. Step 5: Solve for x
    x = 4,733,142,431.87/77,684.50
  6. Step 6: Final answer
    x = 60,927.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.