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Finding the Fourth Proportional to 76,842.36, 106,049.43 and 46,635.39

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Solution

The fourth proportional to 76,842.36, 106,049.43 and 46,635.39 is: 64,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.36 : 106,049.43 = 46,635.39 : x
  2. Step 2: Convert to fraction form
    76,842.36/106,049.43 = 46,635.39/x
  3. Step 3: Cross multiply
    76,842.36x = 106,049.43 × 46,635.39
  4. Step 4: Simplify right side
    76,842.36x = 4,945,656,527.33
  5. Step 5: Solve for x
    x = 4,945,656,527.33/76,842.36
  6. Step 6: Final answer
    x = 64,361.07

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