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Finding the Fourth Proportional to 68,114.09, 102,120.22 and 46,993.86

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Solution

The fourth proportional to 68,114.09, 102,120.22 and 46,993.86 is: 70,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,114.09 : 102,120.22 = 46,993.86 : x
  2. Step 2: Convert to fraction form
    68,114.09/102,120.22 = 46,993.86/x
  3. Step 3: Cross multiply
    68,114.09x = 102,120.22 × 46,993.86
  4. Step 4: Simplify right side
    68,114.09x = 4,799,023,370.43
  5. Step 5: Solve for x
    x = 4,799,023,370.43/68,114.09
  6. Step 6: Final answer
    x = 70,455.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.