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Finding the Fourth Proportional to 30,406.84, 41,940.32 and 20,847.59

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Solution

The fourth proportional to 30,406.84, 41,940.32 and 20,847.59 is: 28,755.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,406.84 : 41,940.32 = 20,847.59 : x
  2. Step 2: Convert to fraction form
    30,406.84/41,940.32 = 20,847.59/x
  3. Step 3: Cross multiply
    30,406.84x = 41,940.32 × 20,847.59
  4. Step 4: Simplify right side
    30,406.84x = 874,354,595.83
  5. Step 5: Solve for x
    x = 874,354,595.83/30,406.84
  6. Step 6: Final answer
    x = 28,755.19

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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.