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Finding the Fourth Proportional to 78,678, 108,576.72 and 45,144

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Solution

The fourth proportional to 78,678, 108,576.72 and 45,144 is: 62,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,678 : 108,576.72 = 45,144 : x
  2. Step 2: Convert to fraction form
    78,678/108,576.72 = 45,144/x
  3. Step 3: Cross multiply
    78,678x = 108,576.72 × 45,144
  4. Step 4: Simplify right side
    78,678x = 4,901,587,447.68
  5. Step 5: Solve for x
    x = 4,901,587,447.68/78,678
  6. Step 6: Final answer
    x = 62,299.34

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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.