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Finding the Fourth Proportional to 38,729.57, 53,447.31 and 21,737.49

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Solution

The fourth proportional to 38,729.57, 53,447.31 and 21,737.49 is: 29,998.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,729.57 : 53,447.31 = 21,737.49 : x
  2. Step 2: Convert to fraction form
    38,729.57/53,447.31 = 21,737.49/x
  3. Step 3: Cross multiply
    38,729.57x = 53,447.31 × 21,737.49
  4. Step 4: Simplify right side
    38,729.57x = 1,161,810,166.22
  5. Step 5: Solve for x
    x = 1,161,810,166.22/38,729.57
  6. Step 6: Final answer
    x = 29,998.02

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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.