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Finding the Fourth Proportional to 71,137, 106,706.94 and 21,889

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Solution

The fourth proportional to 71,137, 106,706.94 and 21,889 is: 32,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137 : 106,706.94 = 21,889 : x
  2. Step 2: Convert to fraction form
    71,137/106,706.94 = 21,889/x
  3. Step 3: Cross multiply
    71,137x = 106,706.94 × 21,889
  4. Step 4: Simplify right side
    71,137x = 2,335,708,209.66
  5. Step 5: Solve for x
    x = 2,335,708,209.66/71,137
  6. Step 6: Final answer
    x = 32,833.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.