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Finding the Fourth Proportional to 100,700.86, 151,067.61 and 33,212.74

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Solution

The fourth proportional to 100,700.86, 151,067.61 and 33,212.74 is: 49,824.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.86 : 151,067.61 = 33,212.74 : x
  2. Step 2: Convert to fraction form
    100,700.86/151,067.61 = 33,212.74/x
  3. Step 3: Cross multiply
    100,700.86x = 151,067.61 × 33,212.74
  4. Step 4: Simplify right side
    100,700.86x = 5,017,369,253.35
  5. Step 5: Solve for x
    x = 5,017,369,253.35/100,700.86
  6. Step 6: Final answer
    x = 49,824.49

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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.