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Finding the Fourth Proportional to 30,705.85, 46,024.95 and 11,982.43

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Solution

The fourth proportional to 30,705.85, 46,024.95 and 11,982.43 is: 17,960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,705.85 : 46,024.95 = 11,982.43 : x
  2. Step 2: Convert to fraction form
    30,705.85/46,024.95 = 11,982.43/x
  3. Step 3: Cross multiply
    30,705.85x = 46,024.95 × 11,982.43
  4. Step 4: Simplify right side
    30,705.85x = 551,490,511.50
  5. Step 5: Solve for x
    x = 551,490,511.50/30,705.85
  6. Step 6: Final answer
    x = 17,960.44

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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.