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Finding the Fourth Proportional to 31,744.80, 47,617.20 and 28,828.80

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Solution

The fourth proportional to 31,744.80, 47,617.20 and 28,828.80 is: 43,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.80 : 47,617.20 = 28,828.80 : x
  2. Step 2: Convert to fraction form
    31,744.80/47,617.20 = 28,828.80/x
  3. Step 3: Cross multiply
    31,744.80x = 47,617.20 × 28,828.80
  4. Step 4: Simplify right side
    31,744.80x = 1,372,746,735.36
  5. Step 5: Solve for x
    x = 1,372,746,735.36/31,744.80
  6. Step 6: Final answer
    x = 43,243.20

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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.