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Finding the Fourth Proportional to 38,661.75, 53,353.32 and 22,538.63

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Solution

The fourth proportional to 38,661.75, 53,353.32 and 22,538.63 is: 31,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,661.75 : 53,353.32 = 22,538.63 : x
  2. Step 2: Convert to fraction form
    38,661.75/53,353.32 = 22,538.63/x
  3. Step 3: Cross multiply
    38,661.75x = 53,353.32 × 22,538.63
  4. Step 4: Simplify right side
    38,661.75x = 1,202,510,787.62
  5. Step 5: Solve for x
    x = 1,202,510,787.62/38,661.75
  6. Step 6: Final answer
    x = 31,103.37

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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.