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Finding the Fourth Proportional to 35,796.68, 49,398.05 and 19,882.15

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Solution

The fourth proportional to 35,796.68, 49,398.05 and 19,882.15 is: 27,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,796.68 : 49,398.05 = 19,882.15 : x
  2. Step 2: Convert to fraction form
    35,796.68/49,398.05 = 19,882.15/x
  3. Step 3: Cross multiply
    35,796.68x = 49,398.05 × 19,882.15
  4. Step 4: Simplify right side
    35,796.68x = 982,139,216.90
  5. Step 5: Solve for x
    x = 982,139,216.90/35,796.68
  6. Step 6: Final answer
    x = 27,436.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.