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Finding the Fourth Proportional to 38,596.12, 57,893.47 and 12,300.48

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Solution

The fourth proportional to 38,596.12, 57,893.47 and 12,300.48 is: 18,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596.12 : 57,893.47 = 12,300.48 : x
  2. Step 2: Convert to fraction form
    38,596.12/57,893.47 = 12,300.48/x
  3. Step 3: Cross multiply
    38,596.12x = 57,893.47 × 12,300.48
  4. Step 4: Simplify right side
    38,596.12x = 712,117,439.11
  5. Step 5: Solve for x
    x = 712,117,439.11/38,596.12
  6. Step 6: Final answer
    x = 18,450.49

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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.