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Finding the Fourth Proportional to 29,649.22, 40,917.73 and 17,078.02

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Solution

The fourth proportional to 29,649.22, 40,917.73 and 17,078.02 is: 23,568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.22 : 40,917.73 = 17,078.02 : x
  2. Step 2: Convert to fraction form
    29,649.22/40,917.73 = 17,078.02/x
  3. Step 3: Cross multiply
    29,649.22x = 40,917.73 × 17,078.02
  4. Step 4: Simplify right side
    29,649.22x = 698,793,606.71
  5. Step 5: Solve for x
    x = 698,793,606.71/29,649.22
  6. Step 6: Final answer
    x = 23,568.71

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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.