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Finding the Fourth Proportional to 50,516.44, 75,774.67 and 22,429.90

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Solution

The fourth proportional to 50,516.44, 75,774.67 and 22,429.90 is: 33,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,516.44 : 75,774.67 = 22,429.90 : x
  2. Step 2: Convert to fraction form
    50,516.44/75,774.67 = 22,429.90/x
  3. Step 3: Cross multiply
    50,516.44x = 75,774.67 × 22,429.90
  4. Step 4: Simplify right side
    50,516.44x = 1,699,618,009.21
  5. Step 5: Solve for x
    x = 1,699,618,009.21/50,516.44
  6. Step 6: Final answer
    x = 33,644.85

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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.