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Finding the Fourth Proportional to 31,905.40, 44,029.01 and 17,758.24

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Solution

The fourth proportional to 31,905.40, 44,029.01 and 17,758.24 is: 24,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,905.40 : 44,029.01 = 17,758.24 : x
  2. Step 2: Convert to fraction form
    31,905.40/44,029.01 = 17,758.24/x
  3. Step 3: Cross multiply
    31,905.40x = 44,029.01 × 17,758.24
  4. Step 4: Simplify right side
    31,905.40x = 781,877,825.97
  5. Step 5: Solve for x
    x = 781,877,825.97/31,905.40
  6. Step 6: Final answer
    x = 24,506.13

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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.