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Finding the Fourth Proportional to 43,813.98, 65,721.51 and 12,649.50

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Solution

The fourth proportional to 43,813.98, 65,721.51 and 12,649.50 is: 18,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,813.98 : 65,721.51 = 12,649.50 : x
  2. Step 2: Convert to fraction form
    43,813.98/65,721.51 = 12,649.50/x
  3. Step 3: Cross multiply
    43,813.98x = 65,721.51 × 12,649.50
  4. Step 4: Simplify right side
    43,813.98x = 831,344,240.75
  5. Step 5: Solve for x
    x = 831,344,240.75/43,813.98
  6. Step 6: Final answer
    x = 18,974.41

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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.