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Finding the Fourth Proportional to 37,328, 55,997.76 and 13,957.76

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Solution

The fourth proportional to 37,328, 55,997.76 and 13,957.76 is: 20,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328 : 55,997.76 = 13,957.76 : x
  2. Step 2: Convert to fraction form
    37,328/55,997.76 = 13,957.76/x
  3. Step 3: Cross multiply
    37,328x = 55,997.76 × 13,957.76
  4. Step 4: Simplify right side
    37,328x = 781,603,294.62
  5. Step 5: Solve for x
    x = 781,603,294.62/37,328
  6. Step 6: Final answer
    x = 20,938.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.