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Finding the Fourth Proportional to 75,827.70, 113,835.15 and 47,747.70

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Solution

The fourth proportional to 75,827.70, 113,835.15 and 47,747.70 is: 71,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,827.70 : 113,835.15 = 47,747.70 : x
  2. Step 2: Convert to fraction form
    75,827.70/113,835.15 = 47,747.70/x
  3. Step 3: Cross multiply
    75,827.70x = 113,835.15 × 47,747.70
  4. Step 4: Simplify right side
    75,827.70x = 5,435,366,591.66
  5. Step 5: Solve for x
    x = 5,435,366,591.66/75,827.70
  6. Step 6: Final answer
    x = 71,680.49

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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.