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Finding the Fourth Proportional to 76,143.50, 105,029.28 and 61,072.34

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Solution

The fourth proportional to 76,143.50, 105,029.28 and 61,072.34 is: 84,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,143.50 : 105,029.28 = 61,072.34 : x
  2. Step 2: Convert to fraction form
    76,143.50/105,029.28 = 61,072.34/x
  3. Step 3: Cross multiply
    76,143.50x = 105,029.28 × 61,072.34
  4. Step 4: Simplify right side
    76,143.50x = 6,414,383,372.97
  5. Step 5: Solve for x
    x = 6,414,383,372.97/76,143.50
  6. Step 6: Final answer
    x = 84,240.73

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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.