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Finding the Fourth Proportional to 30,005.77, 41,408.30 and 16,576.73

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Solution

The fourth proportional to 30,005.77, 41,408.30 and 16,576.73 is: 22,876.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.77 : 41,408.30 = 16,576.73 : x
  2. Step 2: Convert to fraction form
    30,005.77/41,408.30 = 16,576.73/x
  3. Step 3: Cross multiply
    30,005.77x = 41,408.30 × 16,576.73
  4. Step 4: Simplify right side
    30,005.77x = 686,414,353.82
  5. Step 5: Solve for x
    x = 686,414,353.82/30,005.77
  6. Step 6: Final answer
    x = 22,876.08

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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.