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Finding the Fourth Proportional to 35,989.34, 49,665.82 and 20,075

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Solution

The fourth proportional to 35,989.34, 49,665.82 and 20,075 is: 27,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,989.34 : 49,665.82 = 20,075 : x
  2. Step 2: Convert to fraction form
    35,989.34/49,665.82 = 20,075/x
  3. Step 3: Cross multiply
    35,989.34x = 49,665.82 × 20,075
  4. Step 4: Simplify right side
    35,989.34x = 997,041,336.50
  5. Step 5: Solve for x
    x = 997,041,336.50/35,989.34
  6. Step 6: Final answer
    x = 27,703.80

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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.