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Finding the Fourth Proportional to 50,365.78, 69,506.07 and 27,705.35

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Solution

The fourth proportional to 50,365.78, 69,506.07 and 27,705.35 is: 38,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,365.78 : 69,506.07 = 27,705.35 : x
  2. Step 2: Convert to fraction form
    50,365.78/69,506.07 = 27,705.35/x
  3. Step 3: Cross multiply
    50,365.78x = 69,506.07 × 27,705.35
  4. Step 4: Simplify right side
    50,365.78x = 1,925,689,996.47
  5. Step 5: Solve for x
    x = 1,925,689,996.47/50,365.78
  6. Step 6: Final answer
    x = 38,234.09

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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.