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Finding the Fourth Proportional to 76,195.89, 105,115.32 and 49,347.36

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Solution

The fourth proportional to 76,195.89, 105,115.32 and 49,347.36 is: 68,076.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,195.89 : 105,115.32 = 49,347.36 : x
  2. Step 2: Convert to fraction form
    76,195.89/105,115.32 = 49,347.36/x
  3. Step 3: Cross multiply
    76,195.89x = 105,115.32 × 49,347.36
  4. Step 4: Simplify right side
    76,195.89x = 5,187,163,537.56
  5. Step 5: Solve for x
    x = 5,187,163,537.56/76,195.89
  6. Step 6: Final answer
    x = 68,076.68

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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.