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Finding the Fourth Proportional to 76,055.92, 114,042.72 and 53,912.64

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Solution

The fourth proportional to 76,055.92, 114,042.72 and 53,912.64 is: 80,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,055.92 : 114,042.72 = 53,912.64 : x
  2. Step 2: Convert to fraction form
    76,055.92/114,042.72 = 53,912.64/x
  3. Step 3: Cross multiply
    76,055.92x = 114,042.72 × 53,912.64
  4. Step 4: Simplify right side
    76,055.92x = 6,148,344,107.98
  5. Step 5: Solve for x
    x = 6,148,344,107.98/76,055.92
  6. Step 6: Final answer
    x = 80,839.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.