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Finding the Fourth Proportional to 38,743.52, 53,464.21 and 21,745.67

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Solution

The fourth proportional to 38,743.52, 53,464.21 and 21,745.67 is: 30,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,743.52 : 53,464.21 = 21,745.67 : x
  2. Step 2: Convert to fraction form
    38,743.52/53,464.21 = 21,745.67/x
  3. Step 3: Cross multiply
    38,743.52x = 53,464.21 × 21,745.67
  4. Step 4: Simplify right side
    38,743.52x = 1,162,614,758.25
  5. Step 5: Solve for x
    x = 1,162,614,758.25/38,743.52
  6. Step 6: Final answer
    x = 30,007.98

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