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Finding the Fourth Proportional to 78,414.37, 108,256.68 and 51,634.69

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Solution

The fourth proportional to 78,414.37, 108,256.68 and 51,634.69 is: 71,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,414.37 : 108,256.68 = 51,634.69 : x
  2. Step 2: Convert to fraction form
    78,414.37/108,256.68 = 51,634.69/x
  3. Step 3: Cross multiply
    78,414.37x = 108,256.68 × 51,634.69
  4. Step 4: Simplify right side
    78,414.37x = 5,589,800,112.23
  5. Step 5: Solve for x
    x = 5,589,800,112.23/78,414.37
  6. Step 6: Final answer
    x = 71,285.40

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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.