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Finding the Fourth Proportional to 36,179.76, 54,269.26 and 9,884.50

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Solution

The fourth proportional to 36,179.76, 54,269.26 and 9,884.50 is: 14,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,179.76 : 54,269.26 = 9,884.50 : x
  2. Step 2: Convert to fraction form
    36,179.76/54,269.26 = 9,884.50/x
  3. Step 3: Cross multiply
    36,179.76x = 54,269.26 × 9,884.50
  4. Step 4: Simplify right side
    36,179.76x = 536,424,500.47
  5. Step 5: Solve for x
    x = 536,424,500.47/36,179.76
  6. Step 6: Final answer
    x = 14,826.65

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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.