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Finding the Fourth Proportional to 110,159.98, 165,246.24 and 31,268

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Solution

The fourth proportional to 110,159.98, 165,246.24 and 31,268 is: 46,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,159.98 : 165,246.24 = 31,268 : x
  2. Step 2: Convert to fraction form
    110,159.98/165,246.24 = 31,268/x
  3. Step 3: Cross multiply
    110,159.98x = 165,246.24 × 31,268
  4. Step 4: Simplify right side
    110,159.98x = 5,166,919,432.32
  5. Step 5: Solve for x
    x = 5,166,919,432.32/110,159.98
  6. Step 6: Final answer
    x = 46,903.78

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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.