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Finding the Fourth Proportional to 48,970.49, 67,593.72 and 31,977.38

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Solution

The fourth proportional to 48,970.49, 67,593.72 and 31,977.38 is: 44,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,970.49 : 67,593.72 = 31,977.38 : x
  2. Step 2: Convert to fraction form
    48,970.49/67,593.72 = 31,977.38/x
  3. Step 3: Cross multiply
    48,970.49x = 67,593.72 × 31,977.38
  4. Step 4: Simplify right side
    48,970.49x = 2,161,469,652.14
  5. Step 5: Solve for x
    x = 2,161,469,652.14/48,970.49
  6. Step 6: Final answer
    x = 44,138.21

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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.