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Finding the Fourth Proportional to 77,249.70, 106,596.72 and 43,255.98

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Solution

The fourth proportional to 77,249.70, 106,596.72 and 43,255.98 is: 59,688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,249.70 : 106,596.72 = 43,255.98 : x
  2. Step 2: Convert to fraction form
    77,249.70/106,596.72 = 43,255.98/x
  3. Step 3: Cross multiply
    77,249.70x = 106,596.72 × 43,255.98
  4. Step 4: Simplify right side
    77,249.70x = 4,610,945,588.39
  5. Step 5: Solve for x
    x = 4,610,945,588.39/77,249.70
  6. Step 6: Final answer
    x = 59,688.85

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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.