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Finding the Fourth Proportional to 38,475.96, 53,093.22 and 22,338.96

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Solution

The fourth proportional to 38,475.96, 53,093.22 and 22,338.96 is: 30,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.96 : 53,093.22 = 22,338.96 : x
  2. Step 2: Convert to fraction form
    38,475.96/53,093.22 = 22,338.96/x
  3. Step 3: Cross multiply
    38,475.96x = 53,093.22 × 22,338.96
  4. Step 4: Simplify right side
    38,475.96x = 1,186,047,317.85
  5. Step 5: Solve for x
    x = 1,186,047,317.85/38,475.96
  6. Step 6: Final answer
    x = 30,825.67

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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.