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Finding the Fourth Proportional to 57,782.10, 86,669.19 and 16,229.10

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Solution

The fourth proportional to 57,782.10, 86,669.19 and 16,229.10 is: 24,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,782.10 : 86,669.19 = 16,229.10 : x
  2. Step 2: Convert to fraction form
    57,782.10/86,669.19 = 16,229.10/x
  3. Step 3: Cross multiply
    57,782.10x = 86,669.19 × 16,229.10
  4. Step 4: Simplify right side
    57,782.10x = 1,406,562,951.43
  5. Step 5: Solve for x
    x = 1,406,562,951.43/57,782.10
  6. Step 6: Final answer
    x = 24,342.54

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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.