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Finding the Fourth Proportional to 31,531.84, 43,515.90 and 17,384.66

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Solution

The fourth proportional to 31,531.84, 43,515.90 and 17,384.66 is: 23,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.84 : 43,515.90 = 17,384.66 : x
  2. Step 2: Convert to fraction form
    31,531.84/43,515.90 = 17,384.66/x
  3. Step 3: Cross multiply
    31,531.84x = 43,515.90 × 17,384.66
  4. Step 4: Simplify right side
    31,531.84x = 756,509,126.09
  5. Step 5: Solve for x
    x = 756,509,126.09/31,531.84
  6. Step 6: Final answer
    x = 23,991.91

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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.