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Finding the Fourth Proportional to 38,348.64, 57,506.49 and 13,381.20

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Solution

The fourth proportional to 38,348.64, 57,506.49 and 13,381.20 is: 20,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348.64 : 57,506.49 = 13,381.20 : x
  2. Step 2: Convert to fraction form
    38,348.64/57,506.49 = 13,381.20/x
  3. Step 3: Cross multiply
    38,348.64x = 57,506.49 × 13,381.20
  4. Step 4: Simplify right side
    38,348.64x = 769,505,843.99
  5. Step 5: Solve for x
    x = 769,505,843.99/38,348.64
  6. Step 6: Final answer
    x = 20,066.05

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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.