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Finding the Fourth Proportional to 34,175.98, 47,157.19 and 22,827.27

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Solution

The fourth proportional to 34,175.98, 47,157.19 and 22,827.27 is: 31,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,175.98 : 47,157.19 = 22,827.27 : x
  2. Step 2: Convert to fraction form
    34,175.98/47,157.19 = 22,827.27/x
  3. Step 3: Cross multiply
    34,175.98x = 47,157.19 × 22,827.27
  4. Step 4: Simplify right side
    34,175.98x = 1,076,469,763.08
  5. Step 5: Solve for x
    x = 1,076,469,763.08/34,175.98
  6. Step 6: Final answer
    x = 31,497.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.