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Finding the Fourth Proportional to 31,846.80, 43,950 and 17,700.96

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Solution

The fourth proportional to 31,846.80, 43,950 and 17,700.96 is: 24,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.80 : 43,950 = 17,700.96 : x
  2. Step 2: Convert to fraction form
    31,846.80/43,950 = 17,700.96/x
  3. Step 3: Cross multiply
    31,846.80x = 43,950 × 17,700.96
  4. Step 4: Simplify right side
    31,846.80x = 777,957,192
  5. Step 5: Solve for x
    x = 777,957,192/31,846.80
  6. Step 6: Final answer
    x = 24,428.11

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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.