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Finding the Fourth Proportional to 38,049.48, 52,495.50 and 22,120.92

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Solution

The fourth proportional to 38,049.48, 52,495.50 and 22,120.92 is: 30,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.48 : 52,495.50 = 22,120.92 : x
  2. Step 2: Convert to fraction form
    38,049.48/52,495.50 = 22,120.92/x
  3. Step 3: Cross multiply
    38,049.48x = 52,495.50 × 22,120.92
  4. Step 4: Simplify right side
    38,049.48x = 1,161,248,755.86
  5. Step 5: Solve for x
    x = 1,161,248,755.86/38,049.48
  6. Step 6: Final answer
    x = 30,519.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.