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Finding the Fourth Proportional to 101,166.12, 151,765.65 and 37,991.16

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Solution

The fourth proportional to 101,166.12, 151,765.65 and 37,991.16 is: 56,992.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,166.12 : 151,765.65 = 37,991.16 : x
  2. Step 2: Convert to fraction form
    101,166.12/151,765.65 = 37,991.16/x
  3. Step 3: Cross multiply
    101,166.12x = 151,765.65 × 37,991.16
  4. Step 4: Simplify right side
    101,166.12x = 5,765,753,091.65
  5. Step 5: Solve for x
    x = 5,765,753,091.65/101,166.12
  6. Step 6: Final answer
    x = 56,992.93

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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.