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Finding the Fourth Proportional to 69,178.50, 103,767.75 and 22,431.38

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Solution

The fourth proportional to 69,178.50, 103,767.75 and 22,431.38 is: 33,647.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,178.50 : 103,767.75 = 22,431.38 : x
  2. Step 2: Convert to fraction form
    69,178.50/103,767.75 = 22,431.38/x
  3. Step 3: Cross multiply
    69,178.50x = 103,767.75 × 22,431.38
  4. Step 4: Simplify right side
    69,178.50x = 2,327,653,313.16
  5. Step 5: Solve for x
    x = 2,327,653,313.16/69,178.50
  6. Step 6: Final answer
    x = 33,647.06

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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.