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Finding the Fourth Proportional to 27,401.50, 37,813.42 and 15,464.52

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Solution

The fourth proportional to 27,401.50, 37,813.42 and 15,464.52 is: 21,340.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,401.50 : 37,813.42 = 15,464.52 : x
  2. Step 2: Convert to fraction form
    27,401.50/37,813.42 = 15,464.52/x
  3. Step 3: Cross multiply
    27,401.50x = 37,813.42 × 15,464.52
  4. Step 4: Simplify right side
    27,401.50x = 584,766,389.86
  5. Step 5: Solve for x
    x = 584,766,389.86/27,401.50
  6. Step 6: Final answer
    x = 21,340.67

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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.