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Finding the Fourth Proportional to 110,175.36, 165,041.28 and 50,929.44

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Solution

The fourth proportional to 110,175.36, 165,041.28 and 50,929.44 is: 76,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,175.36 : 165,041.28 = 50,929.44 : x
  2. Step 2: Convert to fraction form
    110,175.36/165,041.28 = 50,929.44/x
  3. Step 3: Cross multiply
    110,175.36x = 165,041.28 × 50,929.44
  4. Step 4: Simplify right side
    110,175.36x = 8,405,459,967.28
  5. Step 5: Solve for x
    x = 8,405,459,967.28/110,175.36
  6. Step 6: Final answer
    x = 76,291.65

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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.