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Finding the Fourth Proportional to 110,519.53, 165,811.64 and 35,638.17

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Solution

The fourth proportional to 110,519.53, 165,811.64 and 35,638.17 is: 53,467.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,519.53 : 165,811.64 = 35,638.17 : x
  2. Step 2: Convert to fraction form
    110,519.53/165,811.64 = 35,638.17/x
  3. Step 3: Cross multiply
    110,519.53x = 165,811.64 × 35,638.17
  4. Step 4: Simplify right side
    110,519.53x = 5,909,223,503.39
  5. Step 5: Solve for x
    x = 5,909,223,503.39/110,519.53
  6. Step 6: Final answer
    x = 53,467.69

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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.