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Finding the Fourth Proportional to 110,072.25, 165,108.78 and 26,966.25

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Solution

The fourth proportional to 110,072.25, 165,108.78 and 26,966.25 is: 40,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,072.25 : 165,108.78 = 26,966.25 : x
  2. Step 2: Convert to fraction form
    110,072.25/165,108.78 = 26,966.25/x
  3. Step 3: Cross multiply
    110,072.25x = 165,108.78 × 26,966.25
  4. Step 4: Simplify right side
    110,072.25x = 4,452,364,638.68
  5. Step 5: Solve for x
    x = 4,452,364,638.68/110,072.25
  6. Step 6: Final answer
    x = 40,449.47

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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.