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Finding the Fourth Proportional to 38,023.78, 52,474.78 and 21,893.48

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Solution

The fourth proportional to 38,023.78, 52,474.78 and 21,893.48 is: 30,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,023.78 : 52,474.78 = 21,893.48 : x
  2. Step 2: Convert to fraction form
    38,023.78/52,474.78 = 21,893.48/x
  3. Step 3: Cross multiply
    38,023.78x = 52,474.78 × 21,893.48
  4. Step 4: Simplify right side
    38,023.78x = 1,148,855,704.99
  5. Step 5: Solve for x
    x = 1,148,855,704.99/38,023.78
  6. Step 6: Final answer
    x = 30,214.14

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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.