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Finding the Fourth Proportional to 35,732.25, 49,311.88 and 19,816.36

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Solution

The fourth proportional to 35,732.25, 49,311.88 and 19,816.36 is: 27,347.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732.25 : 49,311.88 = 19,816.36 : x
  2. Step 2: Convert to fraction form
    35,732.25/49,311.88 = 19,816.36/x
  3. Step 3: Cross multiply
    35,732.25x = 49,311.88 × 19,816.36
  4. Step 4: Simplify right side
    35,732.25x = 977,181,793.54
  5. Step 5: Solve for x
    x = 977,181,793.54/35,732.25
  6. Step 6: Final answer
    x = 27,347.33

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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.