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Finding the Fourth Proportional to 103,982.76, 155,974.14 and 33,869.16

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Solution

The fourth proportional to 103,982.76, 155,974.14 and 33,869.16 is: 50,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,982.76 : 155,974.14 = 33,869.16 : x
  2. Step 2: Convert to fraction form
    103,982.76/155,974.14 = 33,869.16/x
  3. Step 3: Cross multiply
    103,982.76x = 155,974.14 × 33,869.16
  4. Step 4: Simplify right side
    103,982.76x = 5,282,713,103.52
  5. Step 5: Solve for x
    x = 5,282,713,103.52/103,982.76
  6. Step 6: Final answer
    x = 50,803.74

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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.