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Finding the Fourth Proportional to 27,737, 38,277.30 and 15,161.76

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Solution

The fourth proportional to 27,737, 38,277.30 and 15,161.76 is: 20,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737 : 38,277.30 = 15,161.76 : x
  2. Step 2: Convert to fraction form
    27,737/38,277.30 = 15,161.76/x
  3. Step 3: Cross multiply
    27,737x = 38,277.30 × 15,161.76
  4. Step 4: Simplify right side
    27,737x = 580,351,236.05
  5. Step 5: Solve for x
    x = 580,351,236.05/27,737
  6. Step 6: Final answer
    x = 20,923.36

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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.