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Finding the Fourth Proportional to 31,733.96, 47,607.78 and 19,741

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Solution

The fourth proportional to 31,733.96, 47,607.78 and 19,741 is: 29,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,733.96 : 47,607.78 = 19,741 : x
  2. Step 2: Convert to fraction form
    31,733.96/47,607.78 = 19,741/x
  3. Step 3: Cross multiply
    31,733.96x = 47,607.78 × 19,741
  4. Step 4: Simplify right side
    31,733.96x = 939,825,184.98
  5. Step 5: Solve for x
    x = 939,825,184.98/31,733.96
  6. Step 6: Final answer
    x = 29,615.76

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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.