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Finding the Fourth Proportional to 30,775.62, 42,469.84 and 17,346.90

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Solution

The fourth proportional to 30,775.62, 42,469.84 and 17,346.90 is: 23,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.62 : 42,469.84 = 17,346.90 : x
  2. Step 2: Convert to fraction form
    30,775.62/42,469.84 = 17,346.90/x
  3. Step 3: Cross multiply
    30,775.62x = 42,469.84 × 17,346.90
  4. Step 4: Simplify right side
    30,775.62x = 736,720,067.50
  5. Step 5: Solve for x
    x = 736,720,067.50/30,775.62
  6. Step 6: Final answer
    x = 23,938.43

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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.