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Finding the Fourth Proportional to 31,770.84, 43,843.14 and 17,623.56

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Solution

The fourth proportional to 31,770.84, 43,843.14 and 17,623.56 is: 24,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.84 : 43,843.14 = 17,623.56 : x
  2. Step 2: Convert to fraction form
    31,770.84/43,843.14 = 17,623.56/x
  3. Step 3: Cross multiply
    31,770.84x = 43,843.14 × 17,623.56
  4. Step 4: Simplify right side
    31,770.84x = 772,672,208.38
  5. Step 5: Solve for x
    x = 772,672,208.38/31,770.84
  6. Step 6: Final answer
    x = 24,320.17

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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.