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Finding the Fourth Proportional to 57,163.70, 78,885.81 and 32,013.20

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Solution

The fourth proportional to 57,163.70, 78,885.81 and 32,013.20 is: 44,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,163.70 : 78,885.81 = 32,013.20 : x
  2. Step 2: Convert to fraction form
    57,163.70/78,885.81 = 32,013.20/x
  3. Step 3: Cross multiply
    57,163.70x = 78,885.81 × 32,013.20
  4. Step 4: Simplify right side
    57,163.70x = 2,525,387,212.69
  5. Step 5: Solve for x
    x = 2,525,387,212.69/57,163.70
  6. Step 6: Final answer
    x = 44,178.16

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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.