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Finding the Fourth Proportional to 38,224.50, 52,749.84 and 21,462.90

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Solution

The fourth proportional to 38,224.50, 52,749.84 and 21,462.90 is: 29,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224.50 : 52,749.84 = 21,462.90 : x
  2. Step 2: Convert to fraction form
    38,224.50/52,749.84 = 21,462.90/x
  3. Step 3: Cross multiply
    38,224.50x = 52,749.84 × 21,462.90
  4. Step 4: Simplify right side
    38,224.50x = 1,132,164,540.94
  5. Step 5: Solve for x
    x = 1,132,164,540.94/38,224.50
  6. Step 6: Final answer
    x = 29,618.82

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