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Finding the Fourth Proportional to 38,600.48, 57,855.36 and 16,400

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Solution

The fourth proportional to 38,600.48, 57,855.36 and 16,400 is: 24,580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,600.48 : 57,855.36 = 16,400 : x
  2. Step 2: Convert to fraction form
    38,600.48/57,855.36 = 16,400/x
  3. Step 3: Cross multiply
    38,600.48x = 57,855.36 × 16,400
  4. Step 4: Simplify right side
    38,600.48x = 948,827,904
  5. Step 5: Solve for x
    x = 948,827,904/38,600.48
  6. Step 6: Final answer
    x = 24,580.73

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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.