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Finding the Fourth Proportional to 106,293.12, 159,467.22 and 31,410.24

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Solution

The fourth proportional to 106,293.12, 159,467.22 and 31,410.24 is: 47,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,293.12 : 159,467.22 = 31,410.24 : x
  2. Step 2: Convert to fraction form
    106,293.12/159,467.22 = 31,410.24/x
  3. Step 3: Cross multiply
    106,293.12x = 159,467.22 × 31,410.24
  4. Step 4: Simplify right side
    106,293.12x = 5,008,903,652.33
  5. Step 5: Solve for x
    x = 5,008,903,652.33/106,293.12
  6. Step 6: Final answer
    x = 47,123.50

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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.