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Finding the Fourth Proportional to 38,222.28, 57,332.03 and 10,142.42

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Solution

The fourth proportional to 38,222.28, 57,332.03 and 10,142.42 is: 15,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,222.28 : 57,332.03 = 10,142.42 : x
  2. Step 2: Convert to fraction form
    38,222.28/57,332.03 = 10,142.42/x
  3. Step 3: Cross multiply
    38,222.28x = 57,332.03 × 10,142.42
  4. Step 4: Simplify right side
    38,222.28x = 581,485,190.34
  5. Step 5: Solve for x
    x = 581,485,190.34/38,222.28
  6. Step 6: Final answer
    x = 15,213.25

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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.