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Finding the Fourth Proportional to 36,196, 54,301.16 and 11,234.98

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Solution

The fourth proportional to 36,196, 54,301.16 and 11,234.98 is: 16,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,196 : 54,301.16 = 11,234.98 : x
  2. Step 2: Convert to fraction form
    36,196/54,301.16 = 11,234.98/x
  3. Step 3: Cross multiply
    36,196x = 54,301.16 × 11,234.98
  4. Step 4: Simplify right side
    36,196x = 610,072,446.58
  5. Step 5: Solve for x
    x = 610,072,446.58/36,196
  6. Step 6: Final answer
    x = 16,854.69

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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.