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Finding the Fourth Proportional to 43,814.98, 65,723.01 and 12,650.50

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Solution

The fourth proportional to 43,814.98, 65,723.01 and 12,650.50 is: 18,975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,814.98 : 65,723.01 = 12,650.50 : x
  2. Step 2: Convert to fraction form
    43,814.98/65,723.01 = 12,650.50/x
  3. Step 3: Cross multiply
    43,814.98x = 65,723.01 × 12,650.50
  4. Step 4: Simplify right side
    43,814.98x = 831,428,938.01
  5. Step 5: Solve for x
    x = 831,428,938.01/43,814.98
  6. Step 6: Final answer
    x = 18,975.91

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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.