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Finding the Fourth Proportional to 71,263.56, 106,846.14 and 31,263.34

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Solution

The fourth proportional to 71,263.56, 106,846.14 and 31,263.34 is: 46,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,263.56 : 106,846.14 = 31,263.34 : x
  2. Step 2: Convert to fraction form
    71,263.56/106,846.14 = 31,263.34/x
  3. Step 3: Cross multiply
    71,263.56x = 106,846.14 × 31,263.34
  4. Step 4: Simplify right side
    71,263.56x = 3,340,367,202.51
  5. Step 5: Solve for x
    x = 3,340,367,202.51/71,263.56
  6. Step 6: Final answer
    x = 46,873.43

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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.