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Finding the Fourth Proportional to 110,782.60, 166,054.52 and 53,735.71

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Solution

The fourth proportional to 110,782.60, 166,054.52 and 53,735.71 is: 80,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,782.60 : 166,054.52 = 53,735.71 : x
  2. Step 2: Convert to fraction form
    110,782.60/166,054.52 = 53,735.71/x
  3. Step 3: Cross multiply
    110,782.60x = 166,054.52 × 53,735.71
  4. Step 4: Simplify right side
    110,782.60x = 8,923,057,530.91
  5. Step 5: Solve for x
    x = 8,923,057,530.91/110,782.60
  6. Step 6: Final answer
    x = 80,545.66

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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.