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Finding the Fourth Proportional to 32,267.71, 48,401.44 and 21,171.72

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Solution

The fourth proportional to 32,267.71, 48,401.44 and 21,171.72 is: 31,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,267.71 : 48,401.44 = 21,171.72 : x
  2. Step 2: Convert to fraction form
    32,267.71/48,401.44 = 21,171.72/x
  3. Step 3: Cross multiply
    32,267.71x = 48,401.44 × 21,171.72
  4. Step 4: Simplify right side
    32,267.71x = 1,024,741,735.28
  5. Step 5: Solve for x
    x = 1,024,741,735.28/32,267.71
  6. Step 6: Final answer
    x = 31,757.50

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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.