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Finding the Fourth Proportional to 31,754.56, 47,629.28 and 13,029.28

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Solution

The fourth proportional to 31,754.56, 47,629.28 and 13,029.28 is: 19,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.56 : 47,629.28 = 13,029.28 : x
  2. Step 2: Convert to fraction form
    31,754.56/47,629.28 = 13,029.28/x
  3. Step 3: Cross multiply
    31,754.56x = 47,629.28 × 13,029.28
  4. Step 4: Simplify right side
    31,754.56x = 620,575,225.32
  5. Step 5: Solve for x
    x = 620,575,225.32/31,754.56
  6. Step 6: Final answer
    x = 19,542.87

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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.