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Finding the Fourth Proportional to 34,172.24, 47,142.26 and 20,019.10

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Solution

The fourth proportional to 34,172.24, 47,142.26 and 20,019.10 is: 27,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,172.24 : 47,142.26 = 20,019.10 : x
  2. Step 2: Convert to fraction form
    34,172.24/47,142.26 = 20,019.10/x
  3. Step 3: Cross multiply
    34,172.24x = 47,142.26 × 20,019.10
  4. Step 4: Simplify right side
    34,172.24x = 943,745,617.17
  5. Step 5: Solve for x
    x = 943,745,617.17/34,172.24
  6. Step 6: Final answer
    x = 27,617.32

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Why These Related Problems?

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