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Finding the Fourth Proportional to 101,991.56, 152,989.16 and 35,433.86

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Solution

The fourth proportional to 101,991.56, 152,989.16 and 35,433.86 is: 53,151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,991.56 : 152,989.16 = 35,433.86 : x
  2. Step 2: Convert to fraction form
    101,991.56/152,989.16 = 35,433.86/x
  3. Step 3: Cross multiply
    101,991.56x = 152,989.16 × 35,433.86
  4. Step 4: Simplify right side
    101,991.56x = 5,420,995,534.84
  5. Step 5: Solve for x
    x = 5,420,995,534.84/101,991.56
  6. Step 6: Final answer
    x = 53,151.42

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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.