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Finding the Fourth Proportional to 69,013.31, 103,544.27 and 33,977.57

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Solution

The fourth proportional to 69,013.31, 103,544.27 and 33,977.57 is: 50,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,013.31 : 103,544.27 = 33,977.57 : x
  2. Step 2: Convert to fraction form
    69,013.31/103,544.27 = 33,977.57/x
  3. Step 3: Cross multiply
    69,013.31x = 103,544.27 × 33,977.57
  4. Step 4: Simplify right side
    69,013.31x = 3,518,183,025.83
  5. Step 5: Solve for x
    x = 3,518,183,025.83/69,013.31
  6. Step 6: Final answer
    x = 50,978.32

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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.