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Finding the Fourth Proportional to 67,005.68, 100,505.22 and 24,893.96

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Solution

The fourth proportional to 67,005.68, 100,505.22 and 24,893.96 is: 37,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,005.68 : 100,505.22 = 24,893.96 : x
  2. Step 2: Convert to fraction form
    67,005.68/100,505.22 = 24,893.96/x
  3. Step 3: Cross multiply
    67,005.68x = 100,505.22 × 24,893.96
  4. Step 4: Simplify right side
    67,005.68x = 2,501,972,926.47
  5. Step 5: Solve for x
    x = 2,501,972,926.47/67,005.68
  6. Step 6: Final answer
    x = 37,339.71

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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.