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Finding the Fourth Proportional to 31,850.04, 47,775 and 8,476.48

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Solution

The fourth proportional to 31,850.04, 47,775 and 8,476.48 is: 12,714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,850.04 : 47,775 = 8,476.48 : x
  2. Step 2: Convert to fraction form
    31,850.04/47,775 = 8,476.48/x
  3. Step 3: Cross multiply
    31,850.04x = 47,775 × 8,476.48
  4. Step 4: Simplify right side
    31,850.04x = 404,963,832
  5. Step 5: Solve for x
    x = 404,963,832/31,850.04
  6. Step 6: Final answer
    x = 12,714.70

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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.