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Finding the Fourth Proportional to 71,850.96, 107,789.40 and 32,426.64

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Solution

The fourth proportional to 71,850.96, 107,789.40 and 32,426.64 is: 48,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,850.96 : 107,789.40 = 32,426.64 : x
  2. Step 2: Convert to fraction form
    71,850.96/107,789.40 = 32,426.64/x
  3. Step 3: Cross multiply
    71,850.96x = 107,789.40 × 32,426.64
  4. Step 4: Simplify right side
    71,850.96x = 3,495,248,069.62
  5. Step 5: Solve for x
    x = 3,495,248,069.62/71,850.96
  6. Step 6: Final answer
    x = 48,645.81

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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.