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Finding the Fourth Proportional to 57,324.50, 79,107.81 and 32,174

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Solution

The fourth proportional to 57,324.50, 79,107.81 and 32,174 is: 44,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,324.50 : 79,107.81 = 32,174 : x
  2. Step 2: Convert to fraction form
    57,324.50/79,107.81 = 32,174/x
  3. Step 3: Cross multiply
    57,324.50x = 79,107.81 × 32,174
  4. Step 4: Simplify right side
    57,324.50x = 2,545,214,678.94
  5. Step 5: Solve for x
    x = 2,545,214,678.94/57,324.50
  6. Step 6: Final answer
    x = 44,400.12

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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.