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Finding the Fourth Proportional to 110,489.40, 165,734.10 and 27,383.40

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Solution

The fourth proportional to 110,489.40, 165,734.10 and 27,383.40 is: 41,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,489.40 : 165,734.10 = 27,383.40 : x
  2. Step 2: Convert to fraction form
    110,489.40/165,734.10 = 27,383.40/x
  3. Step 3: Cross multiply
    110,489.40x = 165,734.10 × 27,383.40
  4. Step 4: Simplify right side
    110,489.40x = 4,538,363,153.94
  5. Step 5: Solve for x
    x = 4,538,363,153.94/110,489.40
  6. Step 6: Final answer
    x = 41,075.10

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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.