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Finding the Fourth Proportional to 55,271.50, 76,274.68 and 30,121

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Solution

The fourth proportional to 55,271.50, 76,274.68 and 30,121 is: 41,566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,271.50 : 76,274.68 = 30,121 : x
  2. Step 2: Convert to fraction form
    55,271.50/76,274.68 = 30,121/x
  3. Step 3: Cross multiply
    55,271.50x = 76,274.68 × 30,121
  4. Step 4: Simplify right side
    55,271.50x = 2,297,469,636.28
  5. Step 5: Solve for x
    x = 2,297,469,636.28/55,271.50
  6. Step 6: Final answer
    x = 41,566.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.