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Finding the Fourth Proportional to 71,487.72, 107,267.34 and 32,073

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Solution

The fourth proportional to 71,487.72, 107,267.34 and 32,073 is: 48,125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487.72 : 107,267.34 = 32,073 : x
  2. Step 2: Convert to fraction form
    71,487.72/107,267.34 = 32,073/x
  3. Step 3: Cross multiply
    71,487.72x = 107,267.34 × 32,073
  4. Step 4: Simplify right side
    71,487.72x = 3,440,385,395.82
  5. Step 5: Solve for x
    x = 3,440,385,395.82/71,487.72
  6. Step 6: Final answer
    x = 48,125.54

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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.