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Finding the Fourth Proportional to 31,963.22, 44,093.02 and 24,396.41

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Solution

The fourth proportional to 31,963.22, 44,093.02 and 24,396.41 is: 33,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.22 : 44,093.02 = 24,396.41 : x
  2. Step 2: Convert to fraction form
    31,963.22/44,093.02 = 24,396.41/x
  3. Step 3: Cross multiply
    31,963.22x = 44,093.02 × 24,396.41
  4. Step 4: Simplify right side
    31,963.22x = 1,075,711,172.40
  5. Step 5: Solve for x
    x = 1,075,711,172.40/31,963.22
  6. Step 6: Final answer
    x = 33,654.66

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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.