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Finding the Fourth Proportional to 67,112.70, 100,701.45 and 47,348.70

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Solution

The fourth proportional to 67,112.70, 100,701.45 and 47,348.70 is: 71,045.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,112.70 : 100,701.45 = 47,348.70 : x
  2. Step 2: Convert to fraction form
    67,112.70/100,701.45 = 47,348.70/x
  3. Step 3: Cross multiply
    67,112.70x = 100,701.45 × 47,348.70
  4. Step 4: Simplify right side
    67,112.70x = 4,768,082,745.62
  5. Step 5: Solve for x
    x = 4,768,082,745.62/67,112.70
  6. Step 6: Final answer
    x = 71,045.91

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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.