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Finding the Fourth Proportional to 110,567, 165,850.50 and 36,695

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Solution

The fourth proportional to 110,567, 165,850.50 and 36,695 is: 55,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,567 : 165,850.50 = 36,695 : x
  2. Step 2: Convert to fraction form
    110,567/165,850.50 = 36,695/x
  3. Step 3: Cross multiply
    110,567x = 165,850.50 × 36,695
  4. Step 4: Simplify right side
    110,567x = 6,085,884,097.50
  5. Step 5: Solve for x
    x = 6,085,884,097.50/110,567
  6. Step 6: Final answer
    x = 55,042.50

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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.