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Finding the Fourth Proportional to 53,968.21, 80,906.14 and 20,712.14

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Solution

The fourth proportional to 53,968.21, 80,906.14 and 20,712.14 is: 31,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968.21 : 80,906.14 = 20,712.14 : x
  2. Step 2: Convert to fraction form
    53,968.21/80,906.14 = 20,712.14/x
  3. Step 3: Cross multiply
    53,968.21x = 80,906.14 × 20,712.14
  4. Step 4: Simplify right side
    53,968.21x = 1,675,739,298.54
  5. Step 5: Solve for x
    x = 1,675,739,298.54/53,968.21
  6. Step 6: Final answer
    x = 31,050.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.