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Finding the Fourth Proportional to 82,879.59, 114,414.69 and 57,405.30

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Solution

The fourth proportional to 82,879.59, 114,414.69 and 57,405.30 is: 79,247.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,879.59 : 114,414.69 = 57,405.30 : x
  2. Step 2: Convert to fraction form
    82,879.59/114,414.69 = 57,405.30/x
  3. Step 3: Cross multiply
    82,879.59x = 114,414.69 × 57,405.30
  4. Step 4: Simplify right side
    82,879.59x = 6,568,009,603.86
  5. Step 5: Solve for x
    x = 6,568,009,603.86/82,879.59
  6. Step 6: Final answer
    x = 79,247.61

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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.