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Finding the Fourth Proportional to 65,426.97, 98,190.09 and 47,942.49

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Solution

The fourth proportional to 65,426.97, 98,190.09 and 47,942.49 is: 71,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,426.97 : 98,190.09 = 47,942.49 : x
  2. Step 2: Convert to fraction form
    65,426.97/98,190.09 = 47,942.49/x
  3. Step 3: Cross multiply
    65,426.97x = 98,190.09 × 47,942.49
  4. Step 4: Simplify right side
    65,426.97x = 4,707,477,407.92
  5. Step 5: Solve for x
    x = 4,707,477,407.92/65,426.97
  6. Step 6: Final answer
    x = 71,950.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.