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Finding the Fourth Proportional to 100,051.97, 150,098.03 and 36,872.42

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Solution

The fourth proportional to 100,051.97, 150,098.03 and 36,872.42 is: 55,316.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,051.97 : 150,098.03 = 36,872.42 : x
  2. Step 2: Convert to fraction form
    100,051.97/150,098.03 = 36,872.42/x
  3. Step 3: Cross multiply
    100,051.97x = 150,098.03 × 36,872.42
  4. Step 4: Simplify right side
    100,051.97x = 5,534,476,945.02
  5. Step 5: Solve for x
    x = 5,534,476,945.02/100,051.97
  6. Step 6: Final answer
    x = 55,316.02

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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.