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Finding the Fourth Proportional to 73,080.94, 109,632.88 and 30,961.12

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Solution

The fourth proportional to 73,080.94, 109,632.88 and 30,961.12 is: 46,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,080.94 : 109,632.88 = 30,961.12 : x
  2. Step 2: Convert to fraction form
    73,080.94/109,632.88 = 30,961.12/x
  3. Step 3: Cross multiply
    73,080.94x = 109,632.88 × 30,961.12
  4. Step 4: Simplify right side
    73,080.94x = 3,394,356,753.63
  5. Step 5: Solve for x
    x = 3,394,356,753.63/73,080.94
  6. Step 6: Final answer
    x = 46,446.54

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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.