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Finding the Fourth Proportional to 37,534.34, 51,796.85 and 20,538.24

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Solution

The fourth proportional to 37,534.34, 51,796.85 and 20,538.24 is: 28,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,534.34 : 51,796.85 = 20,538.24 : x
  2. Step 2: Convert to fraction form
    37,534.34/51,796.85 = 20,538.24/x
  3. Step 3: Cross multiply
    37,534.34x = 51,796.85 × 20,538.24
  4. Step 4: Simplify right side
    37,534.34x = 1,063,816,033.85
  5. Step 5: Solve for x
    x = 1,063,816,033.85/37,534.34
  6. Step 6: Final answer
    x = 28,342.48

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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.