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Finding the Fourth Proportional to 82,185.90, 113,415.42 and 45,887.91

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Solution

The fourth proportional to 82,185.90, 113,415.42 and 45,887.91 is: 63,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185.90 : 113,415.42 = 45,887.91 : x
  2. Step 2: Convert to fraction form
    82,185.90/113,415.42 = 45,887.91/x
  3. Step 3: Cross multiply
    82,185.90x = 113,415.42 × 45,887.91
  4. Step 4: Simplify right side
    82,185.90x = 5,204,396,332.34
  5. Step 5: Solve for x
    x = 5,204,396,332.34/82,185.90
  6. Step 6: Final answer
    x = 63,324.69

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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.