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Finding the Fourth Proportional to 31,903.44, 47,851.49 and 8,531.70

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Solution

The fourth proportional to 31,903.44, 47,851.49 and 8,531.70 is: 12,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.44 : 47,851.49 = 8,531.70 : x
  2. Step 2: Convert to fraction form
    31,903.44/47,851.49 = 8,531.70/x
  3. Step 3: Cross multiply
    31,903.44x = 47,851.49 × 8,531.70
  4. Step 4: Simplify right side
    31,903.44x = 408,254,399.12
  5. Step 5: Solve for x
    x = 408,254,399.12/31,903.44
  6. Step 6: Final answer
    x = 12,796.57

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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.