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Finding the Fourth Proportional to 55,083.16, 82,609.98 and 23,911

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Solution

The fourth proportional to 55,083.16, 82,609.98 and 23,911 is: 35,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,083.16 : 82,609.98 = 23,911 : x
  2. Step 2: Convert to fraction form
    55,083.16/82,609.98 = 23,911/x
  3. Step 3: Cross multiply
    55,083.16x = 82,609.98 × 23,911
  4. Step 4: Simplify right side
    55,083.16x = 1,975,287,231.78
  5. Step 5: Solve for x
    x = 1,975,287,231.78/55,083.16
  6. Step 6: Final answer
    x = 35,860.09

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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.