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Finding the Fourth Proportional to 73,080.30, 109,559.70 and 30,992.70

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Solution

The fourth proportional to 73,080.30, 109,559.70 and 30,992.70 is: 46,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,080.30 : 109,559.70 = 30,992.70 : x
  2. Step 2: Convert to fraction form
    73,080.30/109,559.70 = 30,992.70/x
  3. Step 3: Cross multiply
    73,080.30x = 109,559.70 × 30,992.70
  4. Step 4: Simplify right side
    73,080.30x = 3,395,550,914.19
  5. Step 5: Solve for x
    x = 3,395,550,914.19/73,080.30
  6. Step 6: Final answer
    x = 46,463.29

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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.