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Finding the Fourth Proportional to 57,163.34, 78,885.25 and 32,964.19

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Solution

The fourth proportional to 57,163.34, 78,885.25 and 32,964.19 is: 45,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163.34 : 78,885.25 = 32,964.19 : x
  2. Step 2: Convert to fraction form
    57,163.34/78,885.25 = 32,964.19/x
  3. Step 3: Cross multiply
    57,163.34x = 78,885.25 × 32,964.19
  4. Step 4: Simplify right side
    57,163.34x = 2,600,388,089.57
  5. Step 5: Solve for x
    x = 2,600,388,089.57/57,163.34
  6. Step 6: Final answer
    x = 45,490.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.