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Finding the Fourth Proportional to 50,142.28, 69,196.32 and 30,000

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Solution

The fourth proportional to 50,142.28, 69,196.32 and 30,000 is: 41,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142.28 : 69,196.32 = 30,000 : x
  2. Step 2: Convert to fraction form
    50,142.28/69,196.32 = 30,000/x
  3. Step 3: Cross multiply
    50,142.28x = 69,196.32 × 30,000
  4. Step 4: Simplify right side
    50,142.28x = 2,075,889,600.00
  5. Step 5: Solve for x
    x = 2,075,889,600.00/50,142.28
  6. Step 6: Final answer
    x = 41,399.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.