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Finding the Fourth Proportional to 37,004.36, 51,066.42 and 20,237

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Solution

The fourth proportional to 37,004.36, 51,066.42 and 20,237 is: 27,927.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,004.36 : 51,066.42 = 20,237 : x
  2. Step 2: Convert to fraction form
    37,004.36/51,066.42 = 20,237/x
  3. Step 3: Cross multiply
    37,004.36x = 51,066.42 × 20,237
  4. Step 4: Simplify right side
    37,004.36x = 1,033,431,141.54
  5. Step 5: Solve for x
    x = 1,033,431,141.54/37,004.36
  6. Step 6: Final answer
    x = 27,927.28

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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.