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Finding the Fourth Proportional to 75,008, 103,502.08 and 41,469.44

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Solution

The fourth proportional to 75,008, 103,502.08 and 41,469.44 is: 57,222.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008 : 103,502.08 = 41,469.44 : x
  2. Step 2: Convert to fraction form
    75,008/103,502.08 = 41,469.44/x
  3. Step 3: Cross multiply
    75,008x = 103,502.08 × 41,469.44
  4. Step 4: Simplify right side
    75,008x = 4,292,173,296.44
  5. Step 5: Solve for x
    x = 4,292,173,296.44/75,008
  6. Step 6: Final answer
    x = 57,222.87

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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.