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Finding the Fourth Proportional to 29,538.21, 44,311.73 and 10,561.40

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Solution

The fourth proportional to 29,538.21, 44,311.73 and 10,561.40 is: 15,843.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,538.21 : 44,311.73 = 10,561.40 : x
  2. Step 2: Convert to fraction form
    29,538.21/44,311.73 = 10,561.40/x
  3. Step 3: Cross multiply
    29,538.21x = 44,311.73 × 10,561.40
  4. Step 4: Simplify right side
    29,538.21x = 467,993,630.86
  5. Step 5: Solve for x
    x = 467,993,630.86/29,538.21
  6. Step 6: Final answer
    x = 15,843.67

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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.