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Finding the Fourth Proportional to 30,004.38, 41,408.52 and 17,261.70

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Solution

The fourth proportional to 30,004.38, 41,408.52 and 17,261.70 is: 23,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,004.38 : 41,408.52 = 17,261.70 : x
  2. Step 2: Convert to fraction form
    30,004.38/41,408.52 = 17,261.70/x
  3. Step 3: Cross multiply
    30,004.38x = 41,408.52 × 17,261.70
  4. Step 4: Simplify right side
    30,004.38x = 714,781,449.68
  5. Step 5: Solve for x
    x = 714,781,449.68/30,004.38
  6. Step 6: Final answer
    x = 23,822.57

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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.