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Finding the Fourth Proportional to 31,893.66, 47,824.41 and 9,702.78

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Solution

The fourth proportional to 31,893.66, 47,824.41 and 9,702.78 is: 14,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.66 : 47,824.41 = 9,702.78 : x
  2. Step 2: Convert to fraction form
    31,893.66/47,824.41 = 9,702.78/x
  3. Step 3: Cross multiply
    31,893.66x = 47,824.41 × 9,702.78
  4. Step 4: Simplify right side
    31,893.66x = 464,029,728.86
  5. Step 5: Solve for x
    x = 464,029,728.86/31,893.66
  6. Step 6: Final answer
    x = 14,549.28

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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.