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Finding the Fourth Proportional to 105,969.40, 158,953.69 and 27,083.50

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Solution

The fourth proportional to 105,969.40, 158,953.69 and 27,083.50 is: 40,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,969.40 : 158,953.69 = 27,083.50 : x
  2. Step 2: Convert to fraction form
    105,969.40/158,953.69 = 27,083.50/x
  3. Step 3: Cross multiply
    105,969.40x = 158,953.69 × 27,083.50
  4. Step 4: Simplify right side
    105,969.40x = 4,305,021,899.59
  5. Step 5: Solve for x
    x = 4,305,021,899.59/105,969.40
  6. Step 6: Final answer
    x = 40,625.14

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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.