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Finding the Fourth Proportional to 35,763.80, 49,353.10 and 19,847.84

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Solution

The fourth proportional to 35,763.80, 49,353.10 and 19,847.84 is: 27,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,763.80 : 49,353.10 = 19,847.84 : x
  2. Step 2: Convert to fraction form
    35,763.80/49,353.10 = 19,847.84/x
  3. Step 3: Cross multiply
    35,763.80x = 49,353.10 × 19,847.84
  4. Step 4: Simplify right side
    35,763.80x = 979,552,135.92
  5. Step 5: Solve for x
    x = 979,552,135.92/35,763.80
  6. Step 6: Final answer
    x = 27,389.49

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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.