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Finding the Fourth Proportional to 37,437.36, 51,663.24 and 20,670

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Solution

The fourth proportional to 37,437.36, 51,663.24 and 20,670 is: 28,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,437.36 : 51,663.24 = 20,670 : x
  2. Step 2: Convert to fraction form
    37,437.36/51,663.24 = 20,670/x
  3. Step 3: Cross multiply
    37,437.36x = 51,663.24 × 20,670
  4. Step 4: Simplify right side
    37,437.36x = 1,067,879,170.80
  5. Step 5: Solve for x
    x = 1,067,879,170.80/37,437.36
  6. Step 6: Final answer
    x = 28,524.43

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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.