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Finding the Fourth Proportional to 50,231.34, 69,318.96 and 27,569.76

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Solution

The fourth proportional to 50,231.34, 69,318.96 and 27,569.76 is: 38,046.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,231.34 : 69,318.96 = 27,569.76 : x
  2. Step 2: Convert to fraction form
    50,231.34/69,318.96 = 27,569.76/x
  3. Step 3: Cross multiply
    50,231.34x = 69,318.96 × 27,569.76
  4. Step 4: Simplify right side
    50,231.34x = 1,911,107,090.65
  5. Step 5: Solve for x
    x = 1,911,107,090.65/50,231.34
  6. Step 6: Final answer
    x = 38,046.11

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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.