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Finding the Fourth Proportional to 38,671.54, 53,370.16 and 22,537.96

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Solution

The fourth proportional to 38,671.54, 53,370.16 and 22,537.96 is: 31,104.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,671.54 : 53,370.16 = 22,537.96 : x
  2. Step 2: Convert to fraction form
    38,671.54/53,370.16 = 22,537.96/x
  3. Step 3: Cross multiply
    38,671.54x = 53,370.16 × 22,537.96
  4. Step 4: Simplify right side
    38,671.54x = 1,202,854,531.27
  5. Step 5: Solve for x
    x = 1,202,854,531.27/38,671.54
  6. Step 6: Final answer
    x = 31,104.39

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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.