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Finding the Fourth Proportional to 29,789.16, 41,109.50 and 16,360.96

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Solution

The fourth proportional to 29,789.16, 41,109.50 and 16,360.96 is: 22,578.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,789.16 : 41,109.50 = 16,360.96 : x
  2. Step 2: Convert to fraction form
    29,789.16/41,109.50 = 16,360.96/x
  3. Step 3: Cross multiply
    29,789.16x = 41,109.50 × 16,360.96
  4. Step 4: Simplify right side
    29,789.16x = 672,590,885.12
  5. Step 5: Solve for x
    x = 672,590,885.12/29,789.16
  6. Step 6: Final answer
    x = 22,578.38

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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.