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Finding the Fourth Proportional to 50,506.52, 75,734.64 and 29,453.84

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Solution

The fourth proportional to 50,506.52, 75,734.64 and 29,453.84 is: 44,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.52 : 75,734.64 = 29,453.84 : x
  2. Step 2: Convert to fraction form
    50,506.52/75,734.64 = 29,453.84/x
  3. Step 3: Cross multiply
    50,506.52x = 75,734.64 × 29,453.84
  4. Step 4: Simplify right side
    50,506.52x = 2,230,675,969.02
  5. Step 5: Solve for x
    x = 2,230,675,969.02/50,506.52
  6. Step 6: Final answer
    x = 44,166.10

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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.