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Finding the Fourth Proportional to 34,224.60, 51,331.77 and 10,848

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Solution

The fourth proportional to 34,224.60, 51,331.77 and 10,848 is: 16,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,224.60 : 51,331.77 = 10,848 : x
  2. Step 2: Convert to fraction form
    34,224.60/51,331.77 = 10,848/x
  3. Step 3: Cross multiply
    34,224.60x = 51,331.77 × 10,848
  4. Step 4: Simplify right side
    34,224.60x = 556,847,040.96
  5. Step 5: Solve for x
    x = 556,847,040.96/34,224.60
  6. Step 6: Final answer
    x = 16,270.37

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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.