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Finding the Fourth Proportional to 48,483.96, 72,609.30 and 27,644.28

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Solution

The fourth proportional to 48,483.96, 72,609.30 and 27,644.28 is: 41,399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,483.96 : 72,609.30 = 27,644.28 : x
  2. Step 2: Convert to fraction form
    48,483.96/72,609.30 = 27,644.28/x
  3. Step 3: Cross multiply
    48,483.96x = 72,609.30 × 27,644.28
  4. Step 4: Simplify right side
    48,483.96x = 2,007,231,819.80
  5. Step 5: Solve for x
    x = 2,007,231,819.80/48,483.96
  6. Step 6: Final answer
    x = 41,399.91

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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.