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Finding the Fourth Proportional to 34,742.30, 47,945.14 and 20,406.22

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Solution

The fourth proportional to 34,742.30, 47,945.14 and 20,406.22 is: 28,161.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,742.30 : 47,945.14 = 20,406.22 : x
  2. Step 2: Convert to fraction form
    34,742.30/47,945.14 = 20,406.22/x
  3. Step 3: Cross multiply
    34,742.30x = 47,945.14 × 20,406.22
  4. Step 4: Simplify right side
    34,742.30x = 978,379,074.77
  5. Step 5: Solve for x
    x = 978,379,074.77/34,742.30
  6. Step 6: Final answer
    x = 28,161.03

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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.