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Finding the Fourth Proportional to 70,678.46, 105,976.69 and 28,524.04

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Solution

The fourth proportional to 70,678.46, 105,976.69 and 28,524.04 is: 42,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.46 : 105,976.69 = 28,524.04 : x
  2. Step 2: Convert to fraction form
    70,678.46/105,976.69 = 28,524.04/x
  3. Step 3: Cross multiply
    70,678.46x = 105,976.69 × 28,524.04
  4. Step 4: Simplify right side
    70,678.46x = 3,022,883,344.63
  5. Step 5: Solve for x
    x = 3,022,883,344.63/70,678.46
  6. Step 6: Final answer
    x = 42,769.51

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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.