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Finding the Fourth Proportional to 53,583.91, 80,375.03 and 13,057.88

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Solution

The fourth proportional to 53,583.91, 80,375.03 and 13,057.88 is: 19,586.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,583.91 : 80,375.03 = 13,057.88 : x
  2. Step 2: Convert to fraction form
    53,583.91/80,375.03 = 13,057.88/x
  3. Step 3: Cross multiply
    53,583.91x = 80,375.03 × 13,057.88
  4. Step 4: Simplify right side
    53,583.91x = 1,049,527,632.38
  5. Step 5: Solve for x
    x = 1,049,527,632.38/53,583.91
  6. Step 6: Final answer
    x = 19,586.62

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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.