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Finding the Fourth Proportional to 101,961.30, 152,937.90 and 35,416.56

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Solution

The fourth proportional to 101,961.30, 152,937.90 and 35,416.56 is: 53,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,961.30 : 152,937.90 = 35,416.56 : x
  2. Step 2: Convert to fraction form
    101,961.30/152,937.90 = 35,416.56/x
  3. Step 3: Cross multiply
    101,961.30x = 152,937.90 × 35,416.56
  4. Step 4: Simplify right side
    101,961.30x = 5,416,534,311.62
  5. Step 5: Solve for x
    x = 5,416,534,311.62/101,961.30
  6. Step 6: Final answer
    x = 53,123.43

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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.