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Finding the Fourth Proportional to 100,474.96, 150,712.44 and 38,145.48

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Solution

The fourth proportional to 100,474.96, 150,712.44 and 38,145.48 is: 57,218.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,474.96 : 150,712.44 = 38,145.48 : x
  2. Step 2: Convert to fraction form
    100,474.96/150,712.44 = 38,145.48/x
  3. Step 3: Cross multiply
    100,474.96x = 150,712.44 × 38,145.48
  4. Step 4: Simplify right side
    100,474.96x = 5,748,998,365.77
  5. Step 5: Solve for x
    x = 5,748,998,365.77/100,474.96
  6. Step 6: Final answer
    x = 57,218.22

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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.