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Finding the Fourth Proportional to 38,638.50, 53,321.66 and 22,505.38

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Solution

The fourth proportional to 38,638.50, 53,321.66 and 22,505.38 is: 31,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.50 : 53,321.66 = 22,505.38 : x
  2. Step 2: Convert to fraction form
    38,638.50/53,321.66 = 22,505.38/x
  3. Step 3: Cross multiply
    38,638.50x = 53,321.66 × 22,505.38
  4. Step 4: Simplify right side
    38,638.50x = 1,200,024,485.62
  5. Step 5: Solve for x
    x = 1,200,024,485.62/38,638.50
  6. Step 6: Final answer
    x = 31,057.74

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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.