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Finding the Fourth Proportional to 38,220.86, 52,745.12 and 22,302.24

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Solution

The fourth proportional to 38,220.86, 52,745.12 and 22,302.24 is: 30,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,220.86 : 52,745.12 = 22,302.24 : x
  2. Step 2: Convert to fraction form
    38,220.86/52,745.12 = 22,302.24/x
  3. Step 3: Cross multiply
    38,220.86x = 52,745.12 × 22,302.24
  4. Step 4: Simplify right side
    38,220.86x = 1,176,334,224.85
  5. Step 5: Solve for x
    x = 1,176,334,224.85/38,220.86
  6. Step 6: Final answer
    x = 30,777.28

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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.