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Finding the Fourth Proportional to 50,795.34, 70,096.80 and 27,824.98

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Solution

The fourth proportional to 50,795.34, 70,096.80 and 27,824.98 is: 38,398.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,795.34 : 70,096.80 = 27,824.98 : x
  2. Step 2: Convert to fraction form
    50,795.34/70,096.80 = 27,824.98/x
  3. Step 3: Cross multiply
    50,795.34x = 70,096.80 × 27,824.98
  4. Step 4: Simplify right side
    50,795.34x = 1,950,441,659.49
  5. Step 5: Solve for x
    x = 1,950,441,659.49/50,795.34
  6. Step 6: Final answer
    x = 38,398.04

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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.