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Finding the Fourth Proportional to 64,652.24, 96,978.17 and 20,282.33

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Solution

The fourth proportional to 64,652.24, 96,978.17 and 20,282.33 is: 30,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,652.24 : 96,978.17 = 20,282.33 : x
  2. Step 2: Convert to fraction form
    64,652.24/96,978.17 = 20,282.33/x
  3. Step 3: Cross multiply
    64,652.24x = 96,978.17 × 20,282.33
  4. Step 4: Simplify right side
    64,652.24x = 1,966,942,660.43
  5. Step 5: Solve for x
    x = 1,966,942,660.43/64,652.24
  6. Step 6: Final answer
    x = 30,423.43

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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.