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Finding the Fourth Proportional to 30,243.54, 45,367.50 and 8,056.82

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Solution

The fourth proportional to 30,243.54, 45,367.50 and 8,056.82 is: 12,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243.54 : 45,367.50 = 8,056.82 : x
  2. Step 2: Convert to fraction form
    30,243.54/45,367.50 = 8,056.82/x
  3. Step 3: Cross multiply
    30,243.54x = 45,367.50 × 8,056.82
  4. Step 4: Simplify right side
    30,243.54x = 365,517,781.35
  5. Step 5: Solve for x
    x = 365,517,781.35/30,243.54
  6. Step 6: Final answer
    x = 12,085.81

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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.