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Finding the Fourth Proportional to 29,893.68, 41,269.11 and 23,164.20

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Solution

The fourth proportional to 29,893.68, 41,269.11 and 23,164.20 is: 31,978.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,893.68 : 41,269.11 = 23,164.20 : x
  2. Step 2: Convert to fraction form
    29,893.68/41,269.11 = 23,164.20/x
  3. Step 3: Cross multiply
    29,893.68x = 41,269.11 × 23,164.20
  4. Step 4: Simplify right side
    29,893.68x = 955,965,917.86
  5. Step 5: Solve for x
    x = 955,965,917.86/29,893.68
  6. Step 6: Final answer
    x = 31,978.86

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1.5x scale

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.