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Finding the Fourth Proportional to 21,073.50, 31,611.06 and 5,491.26

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Solution

The fourth proportional to 21,073.50, 31,611.06 and 5,491.26 is: 8,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,073.50 : 31,611.06 = 5,491.26 : x
  2. Step 2: Convert to fraction form
    21,073.50/31,611.06 = 5,491.26/x
  3. Step 3: Cross multiply
    21,073.50x = 31,611.06 × 5,491.26
  4. Step 4: Simplify right side
    21,073.50x = 173,584,549.34
  5. Step 5: Solve for x
    x = 173,584,549.34/21,073.50
  6. Step 6: Final answer
    x = 8,237.10

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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.