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Finding the Fourth Proportional to 38,314.33, 57,478.79 and 12,012.01

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Solution

The fourth proportional to 38,314.33, 57,478.79 and 12,012.01 is: 18,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,314.33 : 57,478.79 = 12,012.01 : x
  2. Step 2: Convert to fraction form
    38,314.33/57,478.79 = 12,012.01/x
  3. Step 3: Cross multiply
    38,314.33x = 57,478.79 × 12,012.01
  4. Step 4: Simplify right side
    38,314.33x = 690,435,740.21
  5. Step 5: Solve for x
    x = 690,435,740.21/38,314.33
  6. Step 6: Final answer
    x = 18,020.30

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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.