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Finding the Fourth Proportional to 50,698.87, 69,967.07 and 29,191.81

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Solution

The fourth proportional to 50,698.87, 69,967.07 and 29,191.81 is: 40,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,698.87 : 69,967.07 = 29,191.81 : x
  2. Step 2: Convert to fraction form
    50,698.87/69,967.07 = 29,191.81/x
  3. Step 3: Cross multiply
    50,698.87x = 69,967.07 × 29,191.81
  4. Step 4: Simplify right side
    50,698.87x = 2,042,465,267.74
  5. Step 5: Solve for x
    x = 2,042,465,267.74/50,698.87
  6. Step 6: Final answer
    x = 40,286.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.