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Finding the Fourth Proportional to 37,409.24, 51,578.07 and 23,958.38

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Solution

The fourth proportional to 37,409.24, 51,578.07 and 23,958.38 is: 33,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,409.24 : 51,578.07 = 23,958.38 : x
  2. Step 2: Convert to fraction form
    37,409.24/51,578.07 = 23,958.38/x
  3. Step 3: Cross multiply
    37,409.24x = 51,578.07 × 23,958.38
  4. Step 4: Simplify right side
    37,409.24x = 1,235,727,039.83
  5. Step 5: Solve for x
    x = 1,235,727,039.83/37,409.24
  6. Step 6: Final answer
    x = 33,032.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.