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Finding the Fourth Proportional to 38,094.57, 57,163.46 and 20,564.01

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Solution

The fourth proportional to 38,094.57, 57,163.46 and 20,564.01 is: 30,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094.57 : 57,163.46 = 20,564.01 : x
  2. Step 2: Convert to fraction form
    38,094.57/57,163.46 = 20,564.01/x
  3. Step 3: Cross multiply
    38,094.57x = 57,163.46 × 20,564.01
  4. Step 4: Simplify right side
    38,094.57x = 1,175,509,860.25
  5. Step 5: Solve for x
    x = 1,175,509,860.25/38,094.57
  6. Step 6: Final answer
    x = 30,857.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.