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Finding the Fourth Proportional to 57,732.26, 86,601.66 and 16,182.50

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Solution

The fourth proportional to 57,732.26, 86,601.66 and 16,182.50 is: 24,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732.26 : 86,601.66 = 16,182.50 : x
  2. Step 2: Convert to fraction form
    57,732.26/86,601.66 = 16,182.50/x
  3. Step 3: Cross multiply
    57,732.26x = 86,601.66 × 16,182.50
  4. Step 4: Simplify right side
    57,732.26x = 1,401,431,362.95
  5. Step 5: Solve for x
    x = 1,401,431,362.95/57,732.26
  6. Step 6: Final answer
    x = 24,274.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.