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Finding the Fourth Proportional to 37,681.08, 51,997.86 and 20,913

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Solution

The fourth proportional to 37,681.08, 51,997.86 and 20,913 is: 28,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,681.08 : 51,997.86 = 20,913 : x
  2. Step 2: Convert to fraction form
    37,681.08/51,997.86 = 20,913/x
  3. Step 3: Cross multiply
    37,681.08x = 51,997.86 × 20,913
  4. Step 4: Simplify right side
    37,681.08x = 1,087,431,246.18
  5. Step 5: Solve for x
    x = 1,087,431,246.18/37,681.08
  6. Step 6: Final answer
    x = 28,858.81

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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.