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Finding the Fourth Proportional to 81,967, 113,111.41 and 45,667.59

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Solution

The fourth proportional to 81,967, 113,111.41 and 45,667.59 is: 63,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967 : 113,111.41 = 45,667.59 : x
  2. Step 2: Convert to fraction form
    81,967/113,111.41 = 45,667.59/x
  3. Step 3: Cross multiply
    81,967x = 113,111.41 × 45,667.59
  4. Step 4: Simplify right side
    81,967x = 5,165,525,496.20
  5. Step 5: Solve for x
    x = 5,165,525,496.20/81,967
  6. Step 6: Final answer
    x = 63,019.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.