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Finding the Fourth Proportional to 36,478.84, 50,340.80 and 19,711.84

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Solution

The fourth proportional to 36,478.84, 50,340.80 and 19,711.84 is: 27,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,478.84 : 50,340.80 = 19,711.84 : x
  2. Step 2: Convert to fraction form
    36,478.84/50,340.80 = 19,711.84/x
  3. Step 3: Cross multiply
    36,478.84x = 50,340.80 × 19,711.84
  4. Step 4: Simplify right side
    36,478.84x = 992,309,795.07
  5. Step 5: Solve for x
    x = 992,309,795.07/36,478.84
  6. Step 6: Final answer
    x = 27,202.34

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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.