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Finding the Fourth Proportional to 30,974.72, 46,461.32 and 8,788.13

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Solution

The fourth proportional to 30,974.72, 46,461.32 and 8,788.13 is: 13,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.72 : 46,461.32 = 8,788.13 : x
  2. Step 2: Convert to fraction form
    30,974.72/46,461.32 = 8,788.13/x
  3. Step 3: Cross multiply
    30,974.72x = 46,461.32 × 8,788.13
  4. Step 4: Simplify right side
    30,974.72x = 408,307,843.88
  5. Step 5: Solve for x
    x = 408,307,843.88/30,974.72
  6. Step 6: Final answer
    x = 13,181.97

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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.