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Finding the Fourth Proportional to 71,940.92, 107,926.86 and 27,567.64

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Solution

The fourth proportional to 71,940.92, 107,926.86 and 27,567.64 is: 41,357.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940.92 : 107,926.86 = 27,567.64 : x
  2. Step 2: Convert to fraction form
    71,940.92/107,926.86 = 27,567.64/x
  3. Step 3: Cross multiply
    71,940.92x = 107,926.86 × 27,567.64
  4. Step 4: Simplify right side
    71,940.92x = 2,975,288,822.81
  5. Step 5: Solve for x
    x = 2,975,288,822.81/71,940.92
  6. Step 6: Final answer
    x = 41,357.39

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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.