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Finding the Fourth Proportional to 35,769.56, 49,362 and 19,855.50

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Solution

The fourth proportional to 35,769.56, 49,362 and 19,855.50 is: 27,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,769.56 : 49,362 = 19,855.50 : x
  2. Step 2: Convert to fraction form
    35,769.56/49,362 = 19,855.50/x
  3. Step 3: Cross multiply
    35,769.56x = 49,362 × 19,855.50
  4. Step 4: Simplify right side
    35,769.56x = 980,107,191
  5. Step 5: Solve for x
    x = 980,107,191/35,769.56
  6. Step 6: Final answer
    x = 27,400.59

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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.