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Finding the Fourth Proportional to 35,563.44, 49,075 and 19,647.76

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Solution

The fourth proportional to 35,563.44, 49,075 and 19,647.76 is: 27,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,563.44 : 49,075 = 19,647.76 : x
  2. Step 2: Convert to fraction form
    35,563.44/49,075 = 19,647.76/x
  3. Step 3: Cross multiply
    35,563.44x = 49,075 × 19,647.76
  4. Step 4: Simplify right side
    35,563.44x = 964,213,822.00
  5. Step 5: Solve for x
    x = 964,213,822.00/35,563.44
  6. Step 6: Final answer
    x = 27,112.50

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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.