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Finding the Fourth Proportional to 51,234.30, 70,731.18 and 35,403.84

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Solution

The fourth proportional to 51,234.30, 70,731.18 and 35,403.84 is: 48,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,234.30 : 70,731.18 = 35,403.84 : x
  2. Step 2: Convert to fraction form
    51,234.30/70,731.18 = 35,403.84/x
  3. Step 3: Cross multiply
    51,234.30x = 70,731.18 × 35,403.84
  4. Step 4: Simplify right side
    51,234.30x = 2,504,155,379.73
  5. Step 5: Solve for x
    x = 2,504,155,379.73/51,234.30
  6. Step 6: Final answer
    x = 48,876.54

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