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Finding the Fourth Proportional to 29,952.14, 44,933.50 and 10,226.10

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Solution

The fourth proportional to 29,952.14, 44,933.50 and 10,226.10 is: 15,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952.14 : 44,933.50 = 10,226.10 : x
  2. Step 2: Convert to fraction form
    29,952.14/44,933.50 = 10,226.10/x
  3. Step 3: Cross multiply
    29,952.14x = 44,933.50 × 10,226.10
  4. Step 4: Simplify right side
    29,952.14x = 459,494,464.35
  5. Step 5: Solve for x
    x = 459,494,464.35/29,952.14
  6. Step 6: Final answer
    x = 15,340.96

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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.