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Finding the Fourth Proportional to 38,612.67, 57,919.05 and 15,238.50

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Solution

The fourth proportional to 38,612.67, 57,919.05 and 15,238.50 is: 22,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,612.67 : 57,919.05 = 15,238.50 : x
  2. Step 2: Convert to fraction form
    38,612.67/57,919.05 = 15,238.50/x
  3. Step 3: Cross multiply
    38,612.67x = 57,919.05 × 15,238.50
  4. Step 4: Simplify right side
    38,612.67x = 882,599,443.43
  5. Step 5: Solve for x
    x = 882,599,443.43/38,612.67
  6. Step 6: Final answer
    x = 22,857.77

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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.