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Finding the Fourth Proportional to 92,195.98, 138,263.16 and 36,021.52

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Solution

The fourth proportional to 92,195.98, 138,263.16 and 36,021.52 is: 54,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,195.98 : 138,263.16 = 36,021.52 : x
  2. Step 2: Convert to fraction form
    92,195.98/138,263.16 = 36,021.52/x
  3. Step 3: Cross multiply
    92,195.98x = 138,263.16 × 36,021.52
  4. Step 4: Simplify right side
    92,195.98x = 4,980,449,183.20
  5. Step 5: Solve for x
    x = 4,980,449,183.20/92,195.98
  6. Step 6: Final answer
    x = 54,020.24

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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.