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Finding the Fourth Proportional to 34,097.10, 51,012 and 22,433.10

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Solution

The fourth proportional to 34,097.10, 51,012 and 22,433.10 is: 33,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,097.10 : 51,012 = 22,433.10 : x
  2. Step 2: Convert to fraction form
    34,097.10/51,012 = 22,433.10/x
  3. Step 3: Cross multiply
    34,097.10x = 51,012 × 22,433.10
  4. Step 4: Simplify right side
    34,097.10x = 1,144,357,297.20
  5. Step 5: Solve for x
    x = 1,144,357,297.20/34,097.10
  6. Step 6: Final answer
    x = 33,561.72

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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.