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Finding the Fourth Proportional to 48,871.94, 67,450.47 and 30,968.60

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Solution

The fourth proportional to 48,871.94, 67,450.47 and 30,968.60 is: 42,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,871.94 : 67,450.47 = 30,968.60 : x
  2. Step 2: Convert to fraction form
    48,871.94/67,450.47 = 30,968.60/x
  3. Step 3: Cross multiply
    48,871.94x = 67,450.47 × 30,968.60
  4. Step 4: Simplify right side
    48,871.94x = 2,088,846,625.24
  5. Step 5: Solve for x
    x = 2,088,846,625.24/48,871.94
  6. Step 6: Final answer
    x = 42,741.23

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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.