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Finding the Fourth Proportional to 103,983.77, 155,969.50 and 29,102.25

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Solution

The fourth proportional to 103,983.77, 155,969.50 and 29,102.25 is: 43,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,983.77 : 155,969.50 = 29,102.25 : x
  2. Step 2: Convert to fraction form
    103,983.77/155,969.50 = 29,102.25/x
  3. Step 3: Cross multiply
    103,983.77x = 155,969.50 × 29,102.25
  4. Step 4: Simplify right side
    103,983.77x = 4,539,063,308.62
  5. Step 5: Solve for x
    x = 4,539,063,308.62/103,983.77
  6. Step 6: Final answer
    x = 43,651.65

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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.