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Finding the Fourth Proportional to 48,154.50, 72,221.49 and 18,562.50

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Solution

The fourth proportional to 48,154.50, 72,221.49 and 18,562.50 is: 27,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,154.50 : 72,221.49 = 18,562.50 : x
  2. Step 2: Convert to fraction form
    48,154.50/72,221.49 = 18,562.50/x
  3. Step 3: Cross multiply
    48,154.50x = 72,221.49 × 18,562.50
  4. Step 4: Simplify right side
    48,154.50x = 1,340,611,408.13
  5. Step 5: Solve for x
    x = 1,340,611,408.13/48,154.50
  6. Step 6: Final answer
    x = 27,839.79

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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.