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Finding the Fourth Proportional to 29,431.50, 40,614.15 and 16,684.50

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Solution

The fourth proportional to 29,431.50, 40,614.15 and 16,684.50 is: 23,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,431.50 : 40,614.15 = 16,684.50 : x
  2. Step 2: Convert to fraction form
    29,431.50/40,614.15 = 16,684.50/x
  3. Step 3: Cross multiply
    29,431.50x = 40,614.15 × 16,684.50
  4. Step 4: Simplify right side
    29,431.50x = 677,626,785.68
  5. Step 5: Solve for x
    x = 677,626,785.68/29,431.50
  6. Step 6: Final answer
    x = 23,023.86

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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.