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Finding the Fourth Proportional to 29,165.16, 43,728.91 and 16,014

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Solution

The fourth proportional to 29,165.16, 43,728.91 and 16,014 is: 24,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,165.16 : 43,728.91 = 16,014 : x
  2. Step 2: Convert to fraction form
    29,165.16/43,728.91 = 16,014/x
  3. Step 3: Cross multiply
    29,165.16x = 43,728.91 × 16,014
  4. Step 4: Simplify right side
    29,165.16x = 700,274,764.74
  5. Step 5: Solve for x
    x = 700,274,764.74/29,165.16
  6. Step 6: Final answer
    x = 24,010.66

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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.