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Finding the Fourth Proportional to 34,076.26, 51,114.40 and 9,452.26

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Solution

The fourth proportional to 34,076.26, 51,114.40 and 9,452.26 is: 14,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,076.26 : 51,114.40 = 9,452.26 : x
  2. Step 2: Convert to fraction form
    34,076.26/51,114.40 = 9,452.26/x
  3. Step 3: Cross multiply
    34,076.26x = 51,114.40 × 9,452.26
  4. Step 4: Simplify right side
    34,076.26x = 483,146,598.54
  5. Step 5: Solve for x
    x = 483,146,598.54/34,076.26
  6. Step 6: Final answer
    x = 14,178.39

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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.