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Finding the Fourth Proportional to 50,596.38, 69,829.16 and 29,375.65

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Solution

The fourth proportional to 50,596.38, 69,829.16 and 29,375.65 is: 40,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,596.38 : 69,829.16 = 29,375.65 : x
  2. Step 2: Convert to fraction form
    50,596.38/69,829.16 = 29,375.65/x
  3. Step 3: Cross multiply
    50,596.38x = 69,829.16 × 29,375.65
  4. Step 4: Simplify right side
    50,596.38x = 2,051,276,904.36
  5. Step 5: Solve for x
    x = 2,051,276,904.36/50,596.38
  6. Step 6: Final answer
    x = 40,541.97

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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.