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Finding the Fourth Proportional to 74,101.76, 111,162.40 and 24,164.40

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Solution

The fourth proportional to 74,101.76, 111,162.40 and 24,164.40 is: 36,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,101.76 : 111,162.40 = 24,164.40 : x
  2. Step 2: Convert to fraction form
    74,101.76/111,162.40 = 24,164.40/x
  3. Step 3: Cross multiply
    74,101.76x = 111,162.40 × 24,164.40
  4. Step 4: Simplify right side
    74,101.76x = 2,686,172,698.56
  5. Step 5: Solve for x
    x = 2,686,172,698.56/74,101.76
  6. Step 6: Final answer
    x = 36,249.78

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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.