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Finding the Fourth Proportional to 64,682.78, 97,025.01 and 20,309.51

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Solution

The fourth proportional to 64,682.78, 97,025.01 and 20,309.51 is: 30,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682.78 : 97,025.01 = 20,309.51 : x
  2. Step 2: Convert to fraction form
    64,682.78/97,025.01 = 20,309.51/x
  3. Step 3: Cross multiply
    64,682.78x = 97,025.01 × 20,309.51
  4. Step 4: Simplify right side
    64,682.78x = 1,970,530,475.73
  5. Step 5: Solve for x
    x = 1,970,530,475.73/64,682.78
  6. Step 6: Final answer
    x = 30,464.53

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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.