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Finding the Fourth Proportional to 31,563.88, 43,561.80 and 17,953.85

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Solution

The fourth proportional to 31,563.88, 43,561.80 and 17,953.85 is: 24,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,563.88 : 43,561.80 = 17,953.85 : x
  2. Step 2: Convert to fraction form
    31,563.88/43,561.80 = 17,953.85/x
  3. Step 3: Cross multiply
    31,563.88x = 43,561.80 × 17,953.85
  4. Step 4: Simplify right side
    31,563.88x = 782,102,131.83
  5. Step 5: Solve for x
    x = 782,102,131.83/31,563.88
  6. Step 6: Final answer
    x = 24,778.39

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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.