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Finding the Fourth Proportional to 31,838.34, 47,757.46 and 8,464.78

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Solution

The fourth proportional to 31,838.34, 47,757.46 and 8,464.78 is: 12,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,838.34 : 47,757.46 = 8,464.78 : x
  2. Step 2: Convert to fraction form
    31,838.34/47,757.46 = 8,464.78/x
  3. Step 3: Cross multiply
    31,838.34x = 47,757.46 × 8,464.78
  4. Step 4: Simplify right side
    31,838.34x = 404,256,392.26
  5. Step 5: Solve for x
    x = 404,256,392.26/31,838.34
  6. Step 6: Final answer
    x = 12,697.16

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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.