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Finding the Fourth Proportional to 30,564.06, 45,846.12 and 8,377.62

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Solution

The fourth proportional to 30,564.06, 45,846.12 and 8,377.62 is: 12,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.06 : 45,846.12 = 8,377.62 : x
  2. Step 2: Convert to fraction form
    30,564.06/45,846.12 = 8,377.62/x
  3. Step 3: Cross multiply
    30,564.06x = 45,846.12 × 8,377.62
  4. Step 4: Simplify right side
    30,564.06x = 384,081,371.83
  5. Step 5: Solve for x
    x = 384,081,371.83/30,564.06
  6. Step 6: Final answer
    x = 12,566.44

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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.