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Finding the Fourth Proportional to 34,921, 48,190.98 and 20,025.64

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Solution

The fourth proportional to 34,921, 48,190.98 and 20,025.64 is: 27,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,921 : 48,190.98 = 20,025.64 : x
  2. Step 2: Convert to fraction form
    34,921/48,190.98 = 20,025.64/x
  3. Step 3: Cross multiply
    34,921x = 48,190.98 × 20,025.64
  4. Step 4: Simplify right side
    34,921x = 965,055,216.73
  5. Step 5: Solve for x
    x = 965,055,216.73/34,921
  6. Step 6: Final answer
    x = 27,635.38

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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.