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Finding the Fourth Proportional to 38,234.34, 57,359.49 and 19,269.63

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Solution

The fourth proportional to 38,234.34, 57,359.49 and 19,269.63 is: 28,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.34 : 57,359.49 = 19,269.63 : x
  2. Step 2: Convert to fraction form
    38,234.34/57,359.49 = 19,269.63/x
  3. Step 3: Cross multiply
    38,234.34x = 57,359.49 × 19,269.63
  4. Step 4: Simplify right side
    38,234.34x = 1,105,296,149.29
  5. Step 5: Solve for x
    x = 1,105,296,149.29/38,234.34
  6. Step 6: Final answer
    x = 28,908.47

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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.