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Finding the Fourth Proportional to 43,059.84, 64,589.64 and 11,895

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Solution

The fourth proportional to 43,059.84, 64,589.64 and 11,895 is: 17,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,059.84 : 64,589.64 = 11,895 : x
  2. Step 2: Convert to fraction form
    43,059.84/64,589.64 = 11,895/x
  3. Step 3: Cross multiply
    43,059.84x = 64,589.64 × 11,895
  4. Step 4: Simplify right side
    43,059.84x = 768,293,767.80
  5. Step 5: Solve for x
    x = 768,293,767.80/43,059.84
  6. Step 6: Final answer
    x = 17,842.47

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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.