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Finding the Fourth Proportional to 38,662.50, 57,952.29 and 25,330.46

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Solution

The fourth proportional to 38,662.50, 57,952.29 and 25,330.46 is: 37,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.50 : 57,952.29 = 25,330.46 : x
  2. Step 2: Convert to fraction form
    38,662.50/57,952.29 = 25,330.46/x
  3. Step 3: Cross multiply
    38,662.50x = 57,952.29 × 25,330.46
  4. Step 4: Simplify right side
    38,662.50x = 1,467,958,163.75
  5. Step 5: Solve for x
    x = 1,467,958,163.75/38,662.50
  6. Step 6: Final answer
    x = 37,968.53

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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.