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Finding the Fourth Proportional to 107,736.21, 161,604.32 and 55,116.99

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Solution

The fourth proportional to 107,736.21, 161,604.32 and 55,116.99 is: 82,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,736.21 : 161,604.32 = 55,116.99 : x
  2. Step 2: Convert to fraction form
    107,736.21/161,604.32 = 55,116.99/x
  3. Step 3: Cross multiply
    107,736.21x = 161,604.32 × 55,116.99
  4. Step 4: Simplify right side
    107,736.21x = 8,907,144,329.86
  5. Step 5: Solve for x
    x = 8,907,144,329.86/107,736.21
  6. Step 6: Final answer
    x = 82,675.49

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Why These Related Problems?

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