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Finding the Fourth Proportional to 34,951, 48,234.30 and 20,047.96

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Solution

The fourth proportional to 34,951, 48,234.30 and 20,047.96 is: 27,667.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,951 : 48,234.30 = 20,047.96 : x
  2. Step 2: Convert to fraction form
    34,951/48,234.30 = 20,047.96/x
  3. Step 3: Cross multiply
    34,951x = 48,234.30 × 20,047.96
  4. Step 4: Simplify right side
    34,951x = 966,999,317.03
  5. Step 5: Solve for x
    x = 966,999,317.03/34,951
  6. Step 6: Final answer
    x = 27,667.29

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Why These Related Problems?

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