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Finding the Fourth Proportional to 50,449.33, 69,653.62 and 31,357.63

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Solution

The fourth proportional to 50,449.33, 69,653.62 and 31,357.63 is: 43,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,449.33 : 69,653.62 = 31,357.63 : x
  2. Step 2: Convert to fraction form
    50,449.33/69,653.62 = 31,357.63/x
  3. Step 3: Cross multiply
    50,449.33x = 69,653.62 × 31,357.63
  4. Step 4: Simplify right side
    50,449.33x = 2,184,172,570.38
  5. Step 5: Solve for x
    x = 2,184,172,570.38/50,449.33
  6. Step 6: Final answer
    x = 43,294.38

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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.