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Finding the Fourth Proportional to 70,270.70, 105,399.57 and 23,523.98

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Solution

The fourth proportional to 70,270.70, 105,399.57 and 23,523.98 is: 35,283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,270.70 : 105,399.57 = 23,523.98 : x
  2. Step 2: Convert to fraction form
    70,270.70/105,399.57 = 23,523.98/x
  3. Step 3: Cross multiply
    70,270.70x = 105,399.57 × 23,523.98
  4. Step 4: Simplify right side
    70,270.70x = 2,479,417,376.69
  5. Step 5: Solve for x
    x = 2,479,417,376.69/70,270.70
  6. Step 6: Final answer
    x = 35,283.80

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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.