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Finding the Fourth Proportional to 34,284.14, 51,455.43 and 13,522.22

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Solution

The fourth proportional to 34,284.14, 51,455.43 and 13,522.22 is: 20,294.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,284.14 : 51,455.43 = 13,522.22 : x
  2. Step 2: Convert to fraction form
    34,284.14/51,455.43 = 13,522.22/x
  3. Step 3: Cross multiply
    34,284.14x = 51,455.43 × 13,522.22
  4. Step 4: Simplify right side
    34,284.14x = 695,791,644.65
  5. Step 5: Solve for x
    x = 695,791,644.65/34,284.14
  6. Step 6: Final answer
    x = 20,294.85

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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.