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Finding the Fourth Proportional to 41,119.22, 61,678.99 and 9,954.42

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Solution

The fourth proportional to 41,119.22, 61,678.99 and 9,954.42 is: 14,931.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,119.22 : 61,678.99 = 9,954.42 : x
  2. Step 2: Convert to fraction form
    41,119.22/61,678.99 = 9,954.42/x
  3. Step 3: Cross multiply
    41,119.22x = 61,678.99 × 9,954.42
  4. Step 4: Simplify right side
    41,119.22x = 613,978,571.64
  5. Step 5: Solve for x
    x = 613,978,571.64/41,119.22
  6. Step 6: Final answer
    x = 14,931.67

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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.