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Finding the Fourth Proportional to 31,851.84, 43,954.56 and 17,704.32

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Solution

The fourth proportional to 31,851.84, 43,954.56 and 17,704.32 is: 24,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.84 : 43,954.56 = 17,704.32 : x
  2. Step 2: Convert to fraction form
    31,851.84/43,954.56 = 17,704.32/x
  3. Step 3: Cross multiply
    31,851.84x = 43,954.56 × 17,704.32
  4. Step 4: Simplify right side
    31,851.84x = 778,185,595.70
  5. Step 5: Solve for x
    x = 778,185,595.70/31,851.84
  6. Step 6: Final answer
    x = 24,431.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.