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Finding the Fourth Proportional to 83,704.32, 115,511.94 and 45,978.54

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Solution

The fourth proportional to 83,704.32, 115,511.94 and 45,978.54 is: 63,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,704.32 : 115,511.94 = 45,978.54 : x
  2. Step 2: Convert to fraction form
    83,704.32/115,511.94 = 45,978.54/x
  3. Step 3: Cross multiply
    83,704.32x = 115,511.94 × 45,978.54
  4. Step 4: Simplify right side
    83,704.32x = 5,311,070,353.77
  5. Step 5: Solve for x
    x = 5,311,070,353.77/83,704.32
  6. Step 6: Final answer
    x = 63,450.37

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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.