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Finding the Fourth Proportional to 47,667, 65,778.22 and 26,156.26

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Solution

The fourth proportional to 47,667, 65,778.22 and 26,156.26 is: 36,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,667 : 65,778.22 = 26,156.26 : x
  2. Step 2: Convert to fraction form
    47,667/65,778.22 = 26,156.26/x
  3. Step 3: Cross multiply
    47,667x = 65,778.22 × 26,156.26
  4. Step 4: Simplify right side
    47,667x = 1,720,512,224.66
  5. Step 5: Solve for x
    x = 1,720,512,224.66/47,667
  6. Step 6: Final answer
    x = 36,094.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.