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Finding the Fourth Proportional to 31,806.80, 47,710.20 and 27,429.20

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Solution

The fourth proportional to 31,806.80, 47,710.20 and 27,429.20 is: 41,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,806.80 : 47,710.20 = 27,429.20 : x
  2. Step 2: Convert to fraction form
    31,806.80/47,710.20 = 27,429.20/x
  3. Step 3: Cross multiply
    31,806.80x = 47,710.20 × 27,429.20
  4. Step 4: Simplify right side
    31,806.80x = 1,308,652,617.84
  5. Step 5: Solve for x
    x = 1,308,652,617.84/31,806.80
  6. Step 6: Final answer
    x = 41,143.80

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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.