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Finding the Fourth Proportional to 95,337, 143,043.16 and 36,188.37

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Solution

The fourth proportional to 95,337, 143,043.16 and 36,188.37 is: 54,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,337 : 143,043.16 = 36,188.37 : x
  2. Step 2: Convert to fraction form
    95,337/143,043.16 = 36,188.37/x
  3. Step 3: Cross multiply
    95,337x = 143,043.16 × 36,188.37
  4. Step 4: Simplify right side
    95,337x = 5,176,498,800.05
  5. Step 5: Solve for x
    x = 5,176,498,800.05/95,337
  6. Step 6: Final answer
    x = 54,296.85

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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.