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Finding the Fourth Proportional to 64,682.56, 96,984.94 and 24,704.20

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Solution

The fourth proportional to 64,682.56, 96,984.94 and 24,704.20 is: 37,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,682.56 : 96,984.94 = 24,704.20 : x
  2. Step 2: Convert to fraction form
    64,682.56/96,984.94 = 24,704.20/x
  3. Step 3: Cross multiply
    64,682.56x = 96,984.94 × 24,704.20
  4. Step 4: Simplify right side
    64,682.56x = 2,395,935,354.75
  5. Step 5: Solve for x
    x = 2,395,935,354.75/64,682.56
  6. Step 6: Final answer
    x = 37,041.44

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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.