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Finding the Fourth Proportional to 43,349.50, 65,024.25 and 12,184.75

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Solution

The fourth proportional to 43,349.50, 65,024.25 and 12,184.75 is: 18,277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,349.50 : 65,024.25 = 12,184.75 : x
  2. Step 2: Convert to fraction form
    43,349.50/65,024.25 = 12,184.75/x
  3. Step 3: Cross multiply
    43,349.50x = 65,024.25 × 12,184.75
  4. Step 4: Simplify right side
    43,349.50x = 792,304,230.19
  5. Step 5: Solve for x
    x = 792,304,230.19/43,349.50
  6. Step 6: Final answer
    x = 18,277.13

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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.