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Finding the Fourth Proportional to 71,854.72, 107,794.08 and 32,410.96

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Solution

The fourth proportional to 71,854.72, 107,794.08 and 32,410.96 is: 48,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,854.72 : 107,794.08 = 32,410.96 : x
  2. Step 2: Convert to fraction form
    71,854.72/107,794.08 = 32,410.96/x
  3. Step 3: Cross multiply
    71,854.72x = 107,794.08 × 32,410.96
  4. Step 4: Simplify right side
    71,854.72x = 3,493,709,615.12
  5. Step 5: Solve for x
    x = 3,493,709,615.12/71,854.72
  6. Step 6: Final answer
    x = 48,621.85

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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.