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Finding the Fourth Proportional to 35,796.34, 49,400.34 and 19,882

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Solution

The fourth proportional to 35,796.34, 49,400.34 and 19,882 is: 27,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796.34 : 49,400.34 = 19,882 : x
  2. Step 2: Convert to fraction form
    35,796.34/49,400.34 = 19,882/x
  3. Step 3: Cross multiply
    35,796.34x = 49,400.34 × 19,882
  4. Step 4: Simplify right side
    35,796.34x = 982,177,559.88
  5. Step 5: Solve for x
    x = 982,177,559.88/35,796.34
  6. Step 6: Final answer
    x = 27,437.93

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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.