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Finding the Fourth Proportional to 100,228.29, 150,344.45 and 37,015.84

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Solution

The fourth proportional to 100,228.29, 150,344.45 and 37,015.84 is: 55,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228.29 : 150,344.45 = 37,015.84 : x
  2. Step 2: Convert to fraction form
    100,228.29/150,344.45 = 37,015.84/x
  3. Step 3: Cross multiply
    100,228.29x = 150,344.45 × 37,015.84
  4. Step 4: Simplify right side
    100,228.29x = 5,565,125,610.28
  5. Step 5: Solve for x
    x = 5,565,125,610.28/100,228.29
  6. Step 6: Final answer
    x = 55,524.50

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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.