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Finding the Fourth Proportional to 30,676.50, 42,333.93 and 18,576.77

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Solution

The fourth proportional to 30,676.50, 42,333.93 and 18,576.77 is: 25,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.50 : 42,333.93 = 18,576.77 : x
  2. Step 2: Convert to fraction form
    30,676.50/42,333.93 = 18,576.77/x
  3. Step 3: Cross multiply
    30,676.50x = 42,333.93 × 18,576.77
  4. Step 4: Simplify right side
    30,676.50x = 786,427,469.14
  5. Step 5: Solve for x
    x = 786,427,469.14/30,676.50
  6. Step 6: Final answer
    x = 25,636.15

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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.