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Finding the Fourth Proportional to 36,123.28, 49,852.20 and 20,208.40

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Solution

The fourth proportional to 36,123.28, 49,852.20 and 20,208.40 is: 27,888.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,123.28 : 49,852.20 = 20,208.40 : x
  2. Step 2: Convert to fraction form
    36,123.28/49,852.20 = 20,208.40/x
  3. Step 3: Cross multiply
    36,123.28x = 49,852.20 × 20,208.40
  4. Step 4: Simplify right side
    36,123.28x = 1,007,433,198.48
  5. Step 5: Solve for x
    x = 1,007,433,198.48/36,123.28
  6. Step 6: Final answer
    x = 27,888.75

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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.