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Finding the Fourth Proportional to 30,812.36, 46,214.97 and 8,627.51

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Solution

The fourth proportional to 30,812.36, 46,214.97 and 8,627.51 is: 12,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.36 : 46,214.97 = 8,627.51 : x
  2. Step 2: Convert to fraction form
    30,812.36/46,214.97 = 8,627.51/x
  3. Step 3: Cross multiply
    30,812.36x = 46,214.97 × 8,627.51
  4. Step 4: Simplify right side
    30,812.36x = 398,720,115.82
  5. Step 5: Solve for x
    x = 398,720,115.82/30,812.36
  6. Step 6: Final answer
    x = 12,940.27

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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.