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Finding the Fourth Proportional to 38,300.64, 57,408.48 and 16,107.44

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Solution

The fourth proportional to 38,300.64, 57,408.48 and 16,107.44 is: 24,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,300.64 : 57,408.48 = 16,107.44 : x
  2. Step 2: Convert to fraction form
    38,300.64/57,408.48 = 16,107.44/x
  3. Step 3: Cross multiply
    38,300.64x = 57,408.48 × 16,107.44
  4. Step 4: Simplify right side
    38,300.64x = 924,703,647.09
  5. Step 5: Solve for x
    x = 924,703,647.09/38,300.64
  6. Step 6: Final answer
    x = 24,143.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.