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Finding the Fourth Proportional to 34,076.20, 51,114.30 and 9,452.20

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Solution

The fourth proportional to 34,076.20, 51,114.30 and 9,452.20 is: 14,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076.20 : 51,114.30 = 9,452.20 : x
  2. Step 2: Convert to fraction form
    34,076.20/51,114.30 = 9,452.20/x
  3. Step 3: Cross multiply
    34,076.20x = 51,114.30 × 9,452.20
  4. Step 4: Simplify right side
    34,076.20x = 483,142,586.46
  5. Step 5: Solve for x
    x = 483,142,586.46/34,076.20
  6. Step 6: Final answer
    x = 14,178.30

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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.