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Finding the Fourth Proportional to 23,422, 35,077.76 and 20,327.26

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Solution

The fourth proportional to 23,422, 35,077.76 and 20,327.26 is: 30,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422 : 35,077.76 = 20,327.26 : x
  2. Step 2: Convert to fraction form
    23,422/35,077.76 = 20,327.26/x
  3. Step 3: Cross multiply
    23,422x = 35,077.76 × 20,327.26
  4. Step 4: Simplify right side
    23,422x = 713,034,747.74
  5. Step 5: Solve for x
    x = 713,034,747.74/23,422
  6. Step 6: Final answer
    x = 30,442.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.