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Finding the Fourth Proportional to 92,224.98, 138,245.11 and 35,987.72

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Solution

The fourth proportional to 92,224.98, 138,245.11 and 35,987.72 is: 53,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,224.98 : 138,245.11 = 35,987.72 : x
  2. Step 2: Convert to fraction form
    92,224.98/138,245.11 = 35,987.72/x
  3. Step 3: Cross multiply
    92,224.98x = 138,245.11 × 35,987.72
  4. Step 4: Simplify right side
    92,224.98x = 4,975,125,528.85
  5. Step 5: Solve for x
    x = 4,975,125,528.85/92,224.98
  6. Step 6: Final answer
    x = 53,945.53

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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.