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Finding the Fourth Proportional to 31,905.36, 44,029.26 and 17,758.26

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Solution

The fourth proportional to 31,905.36, 44,029.26 and 17,758.26 is: 24,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905.36 : 44,029.26 = 17,758.26 : x
  2. Step 2: Convert to fraction form
    31,905.36/44,029.26 = 17,758.26/x
  3. Step 3: Cross multiply
    31,905.36x = 44,029.26 × 17,758.26
  4. Step 4: Simplify right side
    31,905.36x = 781,883,046.69
  5. Step 5: Solve for x
    x = 781,883,046.69/31,905.36
  6. Step 6: Final answer
    x = 24,506.32

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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.