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Finding the Fourth Proportional to 46,078.46, 69,115.26 and 22,697

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Solution

The fourth proportional to 46,078.46, 69,115.26 and 22,697 is: 34,044.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,078.46 : 69,115.26 = 22,697 : x
  2. Step 2: Convert to fraction form
    46,078.46/69,115.26 = 22,697/x
  3. Step 3: Cross multiply
    46,078.46x = 69,115.26 × 22,697
  4. Step 4: Simplify right side
    46,078.46x = 1,568,709,056.22
  5. Step 5: Solve for x
    x = 1,568,709,056.22/46,078.46
  6. Step 6: Final answer
    x = 34,044.30

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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.