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Finding the Fourth Proportional to 31,827.63, 47,751.97 and 17,033.25

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Solution

The fourth proportional to 31,827.63, 47,751.97 and 17,033.25 is: 25,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,827.63 : 47,751.97 = 17,033.25 : x
  2. Step 2: Convert to fraction form
    31,827.63/47,751.97 = 17,033.25/x
  3. Step 3: Cross multiply
    31,827.63x = 47,751.97 × 17,033.25
  4. Step 4: Simplify right side
    31,827.63x = 813,370,961.66
  5. Step 5: Solve for x
    x = 813,370,961.66/31,827.63
  6. Step 6: Final answer
    x = 25,555.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.