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Finding the Fourth Proportional to 69,013.42, 103,544.43 and 33,977.68

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Solution

The fourth proportional to 69,013.42, 103,544.43 and 33,977.68 is: 50,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,013.42 : 103,544.43 = 33,977.68 : x
  2. Step 2: Convert to fraction form
    69,013.42/103,544.43 = 33,977.68/x
  3. Step 3: Cross multiply
    69,013.42x = 103,544.43 × 33,977.68
  4. Step 4: Simplify right side
    69,013.42x = 3,518,199,508.32
  5. Step 5: Solve for x
    x = 3,518,199,508.32/69,013.42
  6. Step 6: Final answer
    x = 50,978.48

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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.