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Finding the Fourth Proportional to 77,093.46, 106,383.11 and 46,874.59

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Solution

The fourth proportional to 77,093.46, 106,383.11 and 46,874.59 is: 64,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,093.46 : 106,383.11 = 46,874.59 : x
  2. Step 2: Convert to fraction form
    77,093.46/106,383.11 = 46,874.59/x
  3. Step 3: Cross multiply
    77,093.46x = 106,383.11 × 46,874.59
  4. Step 4: Simplify right side
    77,093.46x = 4,986,664,163.84
  5. Step 5: Solve for x
    x = 4,986,664,163.84/77,093.46
  6. Step 6: Final answer
    x = 64,683.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.