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Finding the Fourth Proportional to 50,495.36, 69,680.89 and 27,829.84

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Solution

The fourth proportional to 50,495.36, 69,680.89 and 27,829.84 is: 38,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,495.36 : 69,680.89 = 27,829.84 : x
  2. Step 2: Convert to fraction form
    50,495.36/69,680.89 = 27,829.84/x
  3. Step 3: Cross multiply
    50,495.36x = 69,680.89 × 27,829.84
  4. Step 4: Simplify right side
    50,495.36x = 1,939,208,141.65
  5. Step 5: Solve for x
    x = 1,939,208,141.65/50,495.36
  6. Step 6: Final answer
    x = 38,403.69

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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.