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Finding the Fourth Proportional to 64,654.68, 96,982.02 and 20,284.98

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Solution

The fourth proportional to 64,654.68, 96,982.02 and 20,284.98 is: 30,427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,654.68 : 96,982.02 = 20,284.98 : x
  2. Step 2: Convert to fraction form
    64,654.68/96,982.02 = 20,284.98/x
  3. Step 3: Cross multiply
    64,654.68x = 96,982.02 × 20,284.98
  4. Step 4: Simplify right side
    64,654.68x = 1,967,278,336.06
  5. Step 5: Solve for x
    x = 1,967,278,336.06/64,654.68
  6. Step 6: Final answer
    x = 30,427.47

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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.