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Finding the Fourth Proportional to 21,072.90, 31,611.16 and 5,490.50

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Solution

The fourth proportional to 21,072.90, 31,611.16 and 5,490.50 is: 8,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072.90 : 31,611.16 = 5,490.50 : x
  2. Step 2: Convert to fraction form
    21,072.90/31,611.16 = 5,490.50/x
  3. Step 3: Cross multiply
    21,072.90x = 31,611.16 × 5,490.50
  4. Step 4: Simplify right side
    21,072.90x = 173,561,073.98
  5. Step 5: Solve for x
    x = 173,561,073.98/21,072.90
  6. Step 6: Final answer
    x = 8,236.22

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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.