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Finding the Fourth Proportional to 34,661.28, 51,991.46 and 8,365.90

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Solution

The fourth proportional to 34,661.28, 51,991.46 and 8,365.90 is: 12,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,661.28 : 51,991.46 = 8,365.90 : x
  2. Step 2: Convert to fraction form
    34,661.28/51,991.46 = 8,365.90/x
  3. Step 3: Cross multiply
    34,661.28x = 51,991.46 × 8,365.90
  4. Step 4: Simplify right side
    34,661.28x = 434,955,355.21
  5. Step 5: Solve for x
    x = 434,955,355.21/34,661.28
  6. Step 6: Final answer
    x = 12,548.74

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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.