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Finding the Fourth Proportional to 31,994.84, 44,153.82 and 17,847.38

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Solution

The fourth proportional to 31,994.84, 44,153.82 and 17,847.38 is: 24,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.84 : 44,153.82 = 17,847.38 : x
  2. Step 2: Convert to fraction form
    31,994.84/44,153.82 = 17,847.38/x
  3. Step 3: Cross multiply
    31,994.84x = 44,153.82 × 17,847.38
  4. Step 4: Simplify right side
    31,994.84x = 788,030,003.99
  5. Step 5: Solve for x
    x = 788,030,003.99/31,994.84
  6. Step 6: Final answer
    x = 24,629.91

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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.