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Finding the Fourth Proportional to 76,682, 105,784.06 and 49,450.89

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Solution

The fourth proportional to 76,682, 105,784.06 and 49,450.89 is: 68,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682 : 105,784.06 = 49,450.89 : x
  2. Step 2: Convert to fraction form
    76,682/105,784.06 = 49,450.89/x
  3. Step 3: Cross multiply
    76,682x = 105,784.06 × 49,450.89
  4. Step 4: Simplify right side
    76,682x = 5,231,115,914.81
  5. Step 5: Solve for x
    x = 5,231,115,914.81/76,682
  6. Step 6: Final answer
    x = 68,218.30

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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.