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Finding the Fourth Proportional to 34,270.97, 51,370.24 and 11,774.60

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Solution

The fourth proportional to 34,270.97, 51,370.24 and 11,774.60 is: 17,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,270.97 : 51,370.24 = 11,774.60 : x
  2. Step 2: Convert to fraction form
    34,270.97/51,370.24 = 11,774.60/x
  3. Step 3: Cross multiply
    34,270.97x = 51,370.24 × 11,774.60
  4. Step 4: Simplify right side
    34,270.97x = 604,864,156.49
  5. Step 5: Solve for x
    x = 604,864,156.49/34,270.97
  6. Step 6: Final answer
    x = 17,649.46

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