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Finding the Fourth Proportional to 64,446.56, 96,678.84 and 20,076.56

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Solution

The fourth proportional to 64,446.56, 96,678.84 and 20,076.56 is: 30,117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,446.56 : 96,678.84 = 20,076.56 : x
  2. Step 2: Convert to fraction form
    64,446.56/96,678.84 = 20,076.56/x
  3. Step 3: Cross multiply
    64,446.56x = 96,678.84 × 20,076.56
  4. Step 4: Simplify right side
    64,446.56x = 1,940,978,531.99
  5. Step 5: Solve for x
    x = 1,940,978,531.99/64,446.56
  6. Step 6: Final answer
    x = 30,117.64

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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.