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Finding the Fourth Proportional to 110,336.32, 165,509.44 and 31,456

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Solution

The fourth proportional to 110,336.32, 165,509.44 and 31,456 is: 47,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,336.32 : 165,509.44 = 31,456 : x
  2. Step 2: Convert to fraction form
    110,336.32/165,509.44 = 31,456/x
  3. Step 3: Cross multiply
    110,336.32x = 165,509.44 × 31,456
  4. Step 4: Simplify right side
    110,336.32x = 5,206,264,944.64
  5. Step 5: Solve for x
    x = 5,206,264,944.64/110,336.32
  6. Step 6: Final answer
    x = 47,185.41

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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.