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Finding the Fourth Proportional to 34,962, 52,401.34 and 20,140.21

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Solution

The fourth proportional to 34,962, 52,401.34 and 20,140.21 is: 30,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,962 : 52,401.34 = 20,140.21 : x
  2. Step 2: Convert to fraction form
    34,962/52,401.34 = 20,140.21/x
  3. Step 3: Cross multiply
    34,962x = 52,401.34 × 20,140.21
  4. Step 4: Simplify right side
    34,962x = 1,055,373,991.88
  5. Step 5: Solve for x
    x = 1,055,373,991.88/34,962
  6. Step 6: Final answer
    x = 30,186.32

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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.