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Finding the Fourth Proportional to 35,990.52, 49,667 and 20,075.98

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Solution

The fourth proportional to 35,990.52, 49,667 and 20,075.98 is: 27,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,990.52 : 49,667 = 20,075.98 : x
  2. Step 2: Convert to fraction form
    35,990.52/49,667 = 20,075.98/x
  3. Step 3: Cross multiply
    35,990.52x = 49,667 × 20,075.98
  4. Step 4: Simplify right side
    35,990.52x = 997,113,698.66
  5. Step 5: Solve for x
    x = 997,113,698.66/35,990.52
  6. Step 6: Final answer
    x = 27,704.90

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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.