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Finding the Fourth Proportional to 101,944.98, 152,917.46 and 31,830.30

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Solution

The fourth proportional to 101,944.98, 152,917.46 and 31,830.30 is: 47,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,944.98 : 152,917.46 = 31,830.30 : x
  2. Step 2: Convert to fraction form
    101,944.98/152,917.46 = 31,830.30/x
  3. Step 3: Cross multiply
    101,944.98x = 152,917.46 × 31,830.30
  4. Step 4: Simplify right side
    101,944.98x = 4,867,408,627.04
  5. Step 5: Solve for x
    x = 4,867,408,627.04/101,944.98
  6. Step 6: Final answer
    x = 47,745.45

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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.