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Finding the Fourth Proportional to 38,311.57, 52,857.66 and 23,199.40

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Solution

The fourth proportional to 38,311.57, 52,857.66 and 23,199.40 is: 32,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,311.57 : 52,857.66 = 23,199.40 : x
  2. Step 2: Convert to fraction form
    38,311.57/52,857.66 = 23,199.40/x
  3. Step 3: Cross multiply
    38,311.57x = 52,857.66 × 23,199.40
  4. Step 4: Simplify right side
    38,311.57x = 1,226,265,997.40
  5. Step 5: Solve for x
    x = 1,226,265,997.40/38,311.57
  6. Step 6: Final answer
    x = 32,007.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.