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Finding the Fourth Proportional to 35,162.24, 48,514.29 and 20,049.38

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Solution

The fourth proportional to 35,162.24, 48,514.29 and 20,049.38 is: 27,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,162.24 : 48,514.29 = 20,049.38 : x
  2. Step 2: Convert to fraction form
    35,162.24/48,514.29 = 20,049.38/x
  3. Step 3: Cross multiply
    35,162.24x = 48,514.29 × 20,049.38
  4. Step 4: Simplify right side
    35,162.24x = 972,681,193.07
  5. Step 5: Solve for x
    x = 972,681,193.07/35,162.24
  6. Step 6: Final answer
    x = 27,662.67

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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.