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Finding the Fourth Proportional to 31,661.26, 47,494.52 and 8,287.63

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Solution

The fourth proportional to 31,661.26, 47,494.52 and 8,287.63 is: 12,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661.26 : 47,494.52 = 8,287.63 : x
  2. Step 2: Convert to fraction form
    31,661.26/47,494.52 = 8,287.63/x
  3. Step 3: Cross multiply
    31,661.26x = 47,494.52 × 8,287.63
  4. Step 4: Simplify right side
    31,661.26x = 393,617,008.79
  5. Step 5: Solve for x
    x = 393,617,008.79/31,661.26
  6. Step 6: Final answer
    x = 12,432.13

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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.