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Finding the Fourth Proportional to 38,851.56, 58,152 and 20,105.82

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Solution

The fourth proportional to 38,851.56, 58,152 and 20,105.82 is: 30,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851.56 : 58,152 = 20,105.82 : x
  2. Step 2: Convert to fraction form
    38,851.56/58,152 = 20,105.82/x
  3. Step 3: Cross multiply
    38,851.56x = 58,152 × 20,105.82
  4. Step 4: Simplify right side
    38,851.56x = 1,169,193,644.64
  5. Step 5: Solve for x
    x = 1,169,193,644.64/38,851.56
  6. Step 6: Final answer
    x = 30,093.87

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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.