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Finding the Fourth Proportional to 29,739.72, 41,041.38 and 16,311.66

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Solution

The fourth proportional to 29,739.72, 41,041.38 and 16,311.66 is: 22,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739.72 : 41,041.38 = 16,311.66 : x
  2. Step 2: Convert to fraction form
    29,739.72/41,041.38 = 16,311.66/x
  3. Step 3: Cross multiply
    29,739.72x = 41,041.38 × 16,311.66
  4. Step 4: Simplify right side
    29,739.72x = 669,452,897.88
  5. Step 5: Solve for x
    x = 669,452,897.88/29,739.72
  6. Step 6: Final answer
    x = 22,510.39

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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.