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Finding the Fourth Proportional to 35,989.52, 49,666.56 and 20,075

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Solution

The fourth proportional to 35,989.52, 49,666.56 and 20,075 is: 27,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989.52 : 49,666.56 = 20,075 : x
  2. Step 2: Convert to fraction form
    35,989.52/49,666.56 = 20,075/x
  3. Step 3: Cross multiply
    35,989.52x = 49,666.56 × 20,075
  4. Step 4: Simplify right side
    35,989.52x = 997,056,192
  5. Step 5: Solve for x
    x = 997,056,192/35,989.52
  6. Step 6: Final answer
    x = 27,704.07

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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.