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Finding the Fourth Proportional to 29,645.87, 40,911.27 and 16,217.07

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Solution

The fourth proportional to 29,645.87, 40,911.27 and 16,217.07 is: 22,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,645.87 : 40,911.27 = 16,217.07 : x
  2. Step 2: Convert to fraction form
    29,645.87/40,911.27 = 16,217.07/x
  3. Step 3: Cross multiply
    29,645.87x = 40,911.27 × 16,217.07
  4. Step 4: Simplify right side
    29,645.87x = 663,460,929.38
  5. Step 5: Solve for x
    x = 663,460,929.38/29,645.87
  6. Step 6: Final answer
    x = 22,379.54

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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.