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Finding the Fourth Proportional to 36,461.22, 54,694.90 and 10,165.98

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Solution

The fourth proportional to 36,461.22, 54,694.90 and 10,165.98 is: 15,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,461.22 : 54,694.90 = 10,165.98 : x
  2. Step 2: Convert to fraction form
    36,461.22/54,694.90 = 10,165.98/x
  3. Step 3: Cross multiply
    36,461.22x = 54,694.90 × 10,165.98
  4. Step 4: Simplify right side
    36,461.22x = 556,027,259.50
  5. Step 5: Solve for x
    x = 556,027,259.50/36,461.22
  6. Step 6: Final answer
    x = 15,249.83

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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.