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Finding the Fourth Proportional to 101,449.08, 152,066.16 and 38,241.81

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Solution

The fourth proportional to 101,449.08, 152,066.16 and 38,241.81 is: 57,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,449.08 : 152,066.16 = 38,241.81 : x
  2. Step 2: Convert to fraction form
    101,449.08/152,066.16 = 38,241.81/x
  3. Step 3: Cross multiply
    101,449.08x = 152,066.16 × 38,241.81
  4. Step 4: Simplify right side
    101,449.08x = 5,815,285,198.15
  5. Step 5: Solve for x
    x = 5,815,285,198.15/101,449.08
  6. Step 6: Final answer
    x = 57,322.21

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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.