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Finding the Fourth Proportional to 52,410.44, 72,315.14 and 31,185.56

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Solution

The fourth proportional to 52,410.44, 72,315.14 and 31,185.56 is: 43,029.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,410.44 : 72,315.14 = 31,185.56 : x
  2. Step 2: Convert to fraction form
    52,410.44/72,315.14 = 31,185.56/x
  3. Step 3: Cross multiply
    52,410.44x = 72,315.14 × 31,185.56
  4. Step 4: Simplify right side
    52,410.44x = 2,255,188,137.38
  5. Step 5: Solve for x
    x = 2,255,188,137.38/52,410.44
  6. Step 6: Final answer
    x = 43,029.37

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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.