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Finding the Fourth Proportional to 49,542.84, 68,381.82 and 30,669.84

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Solution

The fourth proportional to 49,542.84, 68,381.82 and 30,669.84 is: 42,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542.84 : 68,381.82 = 30,669.84 : x
  2. Step 2: Convert to fraction form
    49,542.84/68,381.82 = 30,669.84/x
  3. Step 3: Cross multiply
    49,542.84x = 68,381.82 × 30,669.84
  4. Step 4: Simplify right side
    49,542.84x = 2,097,259,478.31
  5. Step 5: Solve for x
    x = 2,097,259,478.31/49,542.84
  6. Step 6: Final answer
    x = 42,332.24

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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.