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Finding the Fourth Proportional to 49,578.84, 68,393.42 and 31,655

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Solution

The fourth proportional to 49,578.84, 68,393.42 and 31,655 is: 43,667.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.84 : 68,393.42 = 31,655 : x
  2. Step 2: Convert to fraction form
    49,578.84/68,393.42 = 31,655/x
  3. Step 3: Cross multiply
    49,578.84x = 68,393.42 × 31,655
  4. Step 4: Simplify right side
    49,578.84x = 2,164,993,710.10
  5. Step 5: Solve for x
    x = 2,164,993,710.10/49,578.84
  6. Step 6: Final answer
    x = 43,667.70

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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.