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Finding the Fourth Proportional to 30,107.57, 41,464.18 and 29,453.77

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Solution

The fourth proportional to 30,107.57, 41,464.18 and 29,453.77 is: 40,563.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.57 : 41,464.18 = 29,453.77 : x
  2. Step 2: Convert to fraction form
    30,107.57/41,464.18 = 29,453.77/x
  3. Step 3: Cross multiply
    30,107.57x = 41,464.18 × 29,453.77
  4. Step 4: Simplify right side
    30,107.57x = 1,221,276,399.15
  5. Step 5: Solve for x
    x = 1,221,276,399.15/30,107.57
  6. Step 6: Final answer
    x = 40,563.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.