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Finding the Fourth Proportional to 37,768.78, 52,127.44 and 21,862

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Solution

The fourth proportional to 37,768.78, 52,127.44 and 21,862 is: 30,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,768.78 : 52,127.44 = 21,862 : x
  2. Step 2: Convert to fraction form
    37,768.78/52,127.44 = 21,862/x
  3. Step 3: Cross multiply
    37,768.78x = 52,127.44 × 21,862
  4. Step 4: Simplify right side
    37,768.78x = 1,139,610,093.28
  5. Step 5: Solve for x
    x = 1,139,610,093.28/37,768.78
  6. Step 6: Final answer
    x = 30,173.34

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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.