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Finding the Fourth Proportional to 120,363, 180,544.50 and 32,811

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Solution

The fourth proportional to 120,363, 180,544.50 and 32,811 is: 49,216.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,363 : 180,544.50 = 32,811 : x
  2. Step 2: Convert to fraction form
    120,363/180,544.50 = 32,811/x
  3. Step 3: Cross multiply
    120,363x = 180,544.50 × 32,811
  4. Step 4: Simplify right side
    120,363x = 5,923,845,589.50
  5. Step 5: Solve for x
    x = 5,923,845,589.50/120,363
  6. Step 6: Final answer
    x = 49,216.50

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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.