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Finding the Fourth Proportional to 50,638.84, 69,882.33 and 27,978.35

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Solution

The fourth proportional to 50,638.84, 69,882.33 and 27,978.35 is: 38,610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,638.84 : 69,882.33 = 27,978.35 : x
  2. Step 2: Convert to fraction form
    50,638.84/69,882.33 = 27,978.35/x
  3. Step 3: Cross multiply
    50,638.84x = 69,882.33 × 27,978.35
  4. Step 4: Simplify right side
    50,638.84x = 1,955,192,392.32
  5. Step 5: Solve for x
    x = 1,955,192,392.32/50,638.84
  6. Step 6: Final answer
    x = 38,610.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.