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Finding the Fourth Proportional to 30,431.72, 45,649.86 and 8,244.75

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Solution

The fourth proportional to 30,431.72, 45,649.86 and 8,244.75 is: 12,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.72 : 45,649.86 = 8,244.75 : x
  2. Step 2: Convert to fraction form
    30,431.72/45,649.86 = 8,244.75/x
  3. Step 3: Cross multiply
    30,431.72x = 45,649.86 × 8,244.75
  4. Step 4: Simplify right side
    30,431.72x = 376,371,683.24
  5. Step 5: Solve for x
    x = 376,371,683.24/30,431.72
  6. Step 6: Final answer
    x = 12,367.74

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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.