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Finding the Fourth Proportional to 50,793.84, 76,277.76 and 31,187.52

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Solution

The fourth proportional to 50,793.84, 76,277.76 and 31,187.52 is: 46,834.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,793.84 : 76,277.76 = 31,187.52 : x
  2. Step 2: Convert to fraction form
    50,793.84/76,277.76 = 31,187.52/x
  3. Step 3: Cross multiply
    50,793.84x = 76,277.76 × 31,187.52
  4. Step 4: Simplify right side
    50,793.84x = 2,378,914,165.56
  5. Step 5: Solve for x
    x = 2,378,914,165.56/50,793.84
  6. Step 6: Final answer
    x = 46,834.70

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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.