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Finding the Fourth Proportional to 31,717.84, 47,576.62 and 9,531.12

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Solution

The fourth proportional to 31,717.84, 47,576.62 and 9,531.12 is: 14,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717.84 : 47,576.62 = 9,531.12 : x
  2. Step 2: Convert to fraction form
    31,717.84/47,576.62 = 9,531.12/x
  3. Step 3: Cross multiply
    31,717.84x = 47,576.62 × 9,531.12
  4. Step 4: Simplify right side
    31,717.84x = 453,458,474.41
  5. Step 5: Solve for x
    x = 453,458,474.41/31,717.84
  6. Step 6: Final answer
    x = 14,296.64

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Why These Related Problems?

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