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Finding the Fourth Proportional to 29,443.82, 40,630.38 and 16,014.80

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Solution

The fourth proportional to 29,443.82, 40,630.38 and 16,014.80 is: 22,099.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,443.82 : 40,630.38 = 16,014.80 : x
  2. Step 2: Convert to fraction form
    29,443.82/40,630.38 = 16,014.80/x
  3. Step 3: Cross multiply
    29,443.82x = 40,630.38 × 16,014.80
  4. Step 4: Simplify right side
    29,443.82x = 650,687,409.62
  5. Step 5: Solve for x
    x = 650,687,409.62/29,443.82
  6. Step 6: Final answer
    x = 22,099.29

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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.