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Finding the Fourth Proportional to 103,634.10, 155,447.37 and 33,511.50

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Solution

The fourth proportional to 103,634.10, 155,447.37 and 33,511.50 is: 50,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634.10 : 155,447.37 = 33,511.50 : x
  2. Step 2: Convert to fraction form
    103,634.10/155,447.37 = 33,511.50/x
  3. Step 3: Cross multiply
    103,634.10x = 155,447.37 × 33,511.50
  4. Step 4: Simplify right side
    103,634.10x = 5,209,274,539.76
  5. Step 5: Solve for x
    x = 5,209,274,539.76/103,634.10
  6. Step 6: Final answer
    x = 50,266.03

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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.