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Finding the Fourth Proportional to 77,194.80, 115,797.60 and 32,816.52

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Solution

The fourth proportional to 77,194.80, 115,797.60 and 32,816.52 is: 49,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,194.80 : 115,797.60 = 32,816.52 : x
  2. Step 2: Convert to fraction form
    77,194.80/115,797.60 = 32,816.52/x
  3. Step 3: Cross multiply
    77,194.80x = 115,797.60 × 32,816.52
  4. Step 4: Simplify right side
    77,194.80x = 3,800,074,256.35
  5. Step 5: Solve for x
    x = 3,800,074,256.35/77,194.80
  6. Step 6: Final answer
    x = 49,227.08

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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.