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Finding the Fourth Proportional to 41,267.61, 57,000.84 and 31,822.20

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Solution

The fourth proportional to 41,267.61, 57,000.84 and 31,822.20 is: 43,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,267.61 : 57,000.84 = 31,822.20 : x
  2. Step 2: Convert to fraction form
    41,267.61/57,000.84 = 31,822.20/x
  3. Step 3: Cross multiply
    41,267.61x = 57,000.84 × 31,822.20
  4. Step 4: Simplify right side
    41,267.61x = 1,813,892,463.73
  5. Step 5: Solve for x
    x = 1,813,892,463.73/41,267.61
  6. Step 6: Final answer
    x = 43,954.38

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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.