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Finding the Fourth Proportional to 38,131.50, 57,142.74 and 16,758.60

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Solution

The fourth proportional to 38,131.50, 57,142.74 and 16,758.60 is: 25,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,131.50 : 57,142.74 = 16,758.60 : x
  2. Step 2: Convert to fraction form
    38,131.50/57,142.74 = 16,758.60/x
  3. Step 3: Cross multiply
    38,131.50x = 57,142.74 × 16,758.60
  4. Step 4: Simplify right side
    38,131.50x = 957,632,322.56
  5. Step 5: Solve for x
    x = 957,632,322.56/38,131.50
  6. Step 6: Final answer
    x = 25,113.94

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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.