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Finding the Fourth Proportional to 82,914.72, 114,422.40 and 45,189

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Solution

The fourth proportional to 82,914.72, 114,422.40 and 45,189 is: 62,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,914.72 : 114,422.40 = 45,189 : x
  2. Step 2: Convert to fraction form
    82,914.72/114,422.40 = 45,189/x
  3. Step 3: Cross multiply
    82,914.72x = 114,422.40 × 45,189
  4. Step 4: Simplify right side
    82,914.72x = 5,170,633,833.60
  5. Step 5: Solve for x
    x = 5,170,633,833.60/82,914.72
  6. Step 6: Final answer
    x = 62,360.87

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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.