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Finding the Fourth Proportional to 50,977.67, 70,320.84 and 47,369.43

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Solution

The fourth proportional to 50,977.67, 70,320.84 and 47,369.43 is: 65,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.67 : 70,320.84 = 47,369.43 : x
  2. Step 2: Convert to fraction form
    50,977.67/70,320.84 = 47,369.43/x
  3. Step 3: Cross multiply
    50,977.67x = 70,320.84 × 47,369.43
  4. Step 4: Simplify right side
    50,977.67x = 3,331,058,107.92
  5. Step 5: Solve for x
    x = 3,331,058,107.92/50,977.67
  6. Step 6: Final answer
    x = 65,343.48

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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.