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Finding the Fourth Proportional to 76,123.84, 114,054.51 and 50,462.44

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Solution

The fourth proportional to 76,123.84, 114,054.51 and 50,462.44 is: 75,606.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,123.84 : 114,054.51 = 50,462.44 : x
  2. Step 2: Convert to fraction form
    76,123.84/114,054.51 = 50,462.44/x
  3. Step 3: Cross multiply
    76,123.84x = 114,054.51 × 50,462.44
  4. Step 4: Simplify right side
    76,123.84x = 5,755,468,867.60
  5. Step 5: Solve for x
    x = 5,755,468,867.60/76,123.84
  6. Step 6: Final answer
    x = 75,606.65

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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.