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Finding the Fourth Proportional to 55,205.50, 82,821.30 and 18,269.50

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Solution

The fourth proportional to 55,205.50, 82,821.30 and 18,269.50 is: 27,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,205.50 : 82,821.30 = 18,269.50 : x
  2. Step 2: Convert to fraction form
    55,205.50/82,821.30 = 18,269.50/x
  3. Step 3: Cross multiply
    55,205.50x = 82,821.30 × 18,269.50
  4. Step 4: Simplify right side
    55,205.50x = 1,513,103,740.35
  5. Step 5: Solve for x
    x = 1,513,103,740.35/55,205.50
  6. Step 6: Final answer
    x = 27,408.57

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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.