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Finding the Fourth Proportional to 38,016.30, 56,993.64 and 15,846.30

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Solution

The fourth proportional to 38,016.30, 56,993.64 and 15,846.30 is: 23,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,016.30 : 56,993.64 = 15,846.30 : x
  2. Step 2: Convert to fraction form
    38,016.30/56,993.64 = 15,846.30/x
  3. Step 3: Cross multiply
    38,016.30x = 56,993.64 × 15,846.30
  4. Step 4: Simplify right side
    38,016.30x = 903,138,317.53
  5. Step 5: Solve for x
    x = 903,138,317.53/38,016.30
  6. Step 6: Final answer
    x = 23,756.61

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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.