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Finding the Fourth Proportional to 45,786.81, 63,191.02 and 27,892.29

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Solution

The fourth proportional to 45,786.81, 63,191.02 and 27,892.29 is: 38,494.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,786.81 : 63,191.02 = 27,892.29 : x
  2. Step 2: Convert to fraction form
    45,786.81/63,191.02 = 27,892.29/x
  3. Step 3: Cross multiply
    45,786.81x = 63,191.02 × 27,892.29
  4. Step 4: Simplify right side
    45,786.81x = 1,762,542,527.07
  5. Step 5: Solve for x
    x = 1,762,542,527.07/45,786.81
  6. Step 6: Final answer
    x = 38,494.54

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Why These Related Problems?

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