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Finding the Fourth Proportional to 29,609.10, 40,859.34 and 16,180.82

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Solution

The fourth proportional to 29,609.10, 40,859.34 and 16,180.82 is: 22,328.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,609.10 : 40,859.34 = 16,180.82 : x
  2. Step 2: Convert to fraction form
    29,609.10/40,859.34 = 16,180.82/x
  3. Step 3: Cross multiply
    29,609.10x = 40,859.34 × 16,180.82
  4. Step 4: Simplify right side
    29,609.10x = 661,137,625.86
  5. Step 5: Solve for x
    x = 661,137,625.86/29,609.10
  6. Step 6: Final answer
    x = 22,328.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.