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Finding the Fourth Proportional to 43,936, 65,902.45 and 12,346

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Solution

The fourth proportional to 43,936, 65,902.45 and 12,346 is: 18,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,936 : 65,902.45 = 12,346 : x
  2. Step 2: Convert to fraction form
    43,936/65,902.45 = 12,346/x
  3. Step 3: Cross multiply
    43,936x = 65,902.45 × 12,346
  4. Step 4: Simplify right side
    43,936x = 813,631,647.70
  5. Step 5: Solve for x
    x = 813,631,647.70/43,936
  6. Step 6: Final answer
    x = 18,518.56

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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.