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Finding the Fourth Proportional to 30,609.36, 45,910.38 and 8,424.98

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Solution

The fourth proportional to 30,609.36, 45,910.38 and 8,424.98 is: 12,636.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.36 : 45,910.38 = 8,424.98 : x
  2. Step 2: Convert to fraction form
    30,609.36/45,910.38 = 8,424.98/x
  3. Step 3: Cross multiply
    30,609.36x = 45,910.38 × 8,424.98
  4. Step 4: Simplify right side
    30,609.36x = 386,794,033.29
  5. Step 5: Solve for x
    x = 386,794,033.29/30,609.36
  6. Step 6: Final answer
    x = 12,636.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.