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Finding the Fourth Proportional to 70,287.75, 105,431.73 and 28,734.75

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Solution

The fourth proportional to 70,287.75, 105,431.73 and 28,734.75 is: 43,102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.75 : 105,431.73 = 28,734.75 : x
  2. Step 2: Convert to fraction form
    70,287.75/105,431.73 = 28,734.75/x
  3. Step 3: Cross multiply
    70,287.75x = 105,431.73 × 28,734.75
  4. Step 4: Simplify right side
    70,287.75x = 3,029,554,403.62
  5. Step 5: Solve for x
    x = 3,029,554,403.62/70,287.75
  6. Step 6: Final answer
    x = 43,102.17

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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.