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Finding the Fourth Proportional to 69,834.36, 104,711.80 and 47,674.56

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Solution

The fourth proportional to 69,834.36, 104,711.80 and 47,674.56 is: 71,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,834.36 : 104,711.80 = 47,674.56 : x
  2. Step 2: Convert to fraction form
    69,834.36/104,711.80 = 47,674.56/x
  3. Step 3: Cross multiply
    69,834.36x = 104,711.80 × 47,674.56
  4. Step 4: Simplify right side
    69,834.36x = 4,992,088,991.81
  5. Step 5: Solve for x
    x = 4,992,088,991.81/69,834.36
  6. Step 6: Final answer
    x = 71,484.71

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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.