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Finding the Fourth Proportional to 31,509.70, 47,264.56 and 8,134.31

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Solution

The fourth proportional to 31,509.70, 47,264.56 and 8,134.31 is: 12,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.70 : 47,264.56 = 8,134.31 : x
  2. Step 2: Convert to fraction form
    31,509.70/47,264.56 = 8,134.31/x
  3. Step 3: Cross multiply
    31,509.70x = 47,264.56 × 8,134.31
  4. Step 4: Simplify right side
    31,509.70x = 384,464,680.88
  5. Step 5: Solve for x
    x = 384,464,680.88/31,509.70
  6. Step 6: Final answer
    x = 12,201.47

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