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Finding the Fourth Proportional to 34,190.40, 51,242.40 and 30,475.20

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Solution

The fourth proportional to 34,190.40, 51,242.40 and 30,475.20 is: 45,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,190.40 : 51,242.40 = 30,475.20 : x
  2. Step 2: Convert to fraction form
    34,190.40/51,242.40 = 30,475.20/x
  3. Step 3: Cross multiply
    34,190.40x = 51,242.40 × 30,475.20
  4. Step 4: Simplify right side
    34,190.40x = 1,561,622,388.48
  5. Step 5: Solve for x
    x = 1,561,622,388.48/34,190.40
  6. Step 6: Final answer
    x = 45,674.29

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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.