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Finding the Fourth Proportional to 36,197.22, 54,299.64 and 9,902

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Solution

The fourth proportional to 36,197.22, 54,299.64 and 9,902 is: 14,854.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,197.22 : 54,299.64 = 9,902 : x
  2. Step 2: Convert to fraction form
    36,197.22/54,299.64 = 9,902/x
  3. Step 3: Cross multiply
    36,197.22x = 54,299.64 × 9,902
  4. Step 4: Simplify right side
    36,197.22x = 537,675,035.28
  5. Step 5: Solve for x
    x = 537,675,035.28/36,197.22
  6. Step 6: Final answer
    x = 14,854.04

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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.