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Finding the Fourth Proportional to 38,102.67, 52,549.07 and 22,992.12

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Solution

The fourth proportional to 38,102.67, 52,549.07 and 22,992.12 is: 31,709.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.67 : 52,549.07 = 22,992.12 : x
  2. Step 2: Convert to fraction form
    38,102.67/52,549.07 = 22,992.12/x
  3. Step 3: Cross multiply
    38,102.67x = 52,549.07 × 22,992.12
  4. Step 4: Simplify right side
    38,102.67x = 1,208,214,408.37
  5. Step 5: Solve for x
    x = 1,208,214,408.37/38,102.67
  6. Step 6: Final answer
    x = 31,709.44

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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.