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Finding the Fourth Proportional to 37,663.04, 51,976.64 and 20,896

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Solution

The fourth proportional to 37,663.04, 51,976.64 and 20,896 is: 28,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,663.04 : 51,976.64 = 20,896 : x
  2. Step 2: Convert to fraction form
    37,663.04/51,976.64 = 20,896/x
  3. Step 3: Cross multiply
    37,663.04x = 51,976.64 × 20,896
  4. Step 4: Simplify right side
    37,663.04x = 1,086,103,869.44
  5. Step 5: Solve for x
    x = 1,086,103,869.44/37,663.04
  6. Step 6: Final answer
    x = 28,837.39

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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.