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Finding the Fourth Proportional to 100,309.46, 150,428.35 and 46,992.36

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Solution

The fourth proportional to 100,309.46, 150,428.35 and 46,992.36 is: 70,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,309.46 : 150,428.35 = 46,992.36 : x
  2. Step 2: Convert to fraction form
    100,309.46/150,428.35 = 46,992.36/x
  3. Step 3: Cross multiply
    100,309.46x = 150,428.35 × 46,992.36
  4. Step 4: Simplify right side
    100,309.46x = 7,068,982,942.44
  5. Step 5: Solve for x
    x = 7,068,982,942.44/100,309.46
  6. Step 6: Final answer
    x = 70,471.75

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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.