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Finding the Fourth Proportional to 31,576.32, 43,575.32 and 17,429.16

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Solution

The fourth proportional to 31,576.32, 43,575.32 and 17,429.16 is: 24,052.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,576.32 : 43,575.32 = 17,429.16 : x
  2. Step 2: Convert to fraction form
    31,576.32/43,575.32 = 17,429.16/x
  3. Step 3: Cross multiply
    31,576.32x = 43,575.32 × 17,429.16
  4. Step 4: Simplify right side
    31,576.32x = 759,481,137.19
  5. Step 5: Solve for x
    x = 759,481,137.19/31,576.32
  6. Step 6: Final answer
    x = 24,052.24

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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.