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Finding the Fourth Proportional to 103,633.60, 155,446.62 and 33,511

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Solution

The fourth proportional to 103,633.60, 155,446.62 and 33,511 is: 50,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633.60 : 155,446.62 = 33,511 : x
  2. Step 2: Convert to fraction form
    103,633.60/155,446.62 = 33,511/x
  3. Step 3: Cross multiply
    103,633.60x = 155,446.62 × 33,511
  4. Step 4: Simplify right side
    103,633.60x = 5,209,171,682.82
  5. Step 5: Solve for x
    x = 5,209,171,682.82/103,633.60
  6. Step 6: Final answer
    x = 50,265.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.