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Finding the Fourth Proportional to 41,167.76, 56,843.50 and 31,592.48

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Solution

The fourth proportional to 41,167.76, 56,843.50 and 31,592.48 is: 43,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,167.76 : 56,843.50 = 31,592.48 : x
  2. Step 2: Convert to fraction form
    41,167.76/56,843.50 = 31,592.48/x
  3. Step 3: Cross multiply
    41,167.76x = 56,843.50 × 31,592.48
  4. Step 4: Simplify right side
    41,167.76x = 1,795,827,136.88
  5. Step 5: Solve for x
    x = 1,795,827,136.88/41,167.76
  6. Step 6: Final answer
    x = 43,622.17

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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.