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Finding the Fourth Proportional to 33,681.72, 50,527.76 and 11,489.91

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Solution

The fourth proportional to 33,681.72, 50,527.76 and 11,489.91 is: 17,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,681.72 : 50,527.76 = 11,489.91 : x
  2. Step 2: Convert to fraction form
    33,681.72/50,527.76 = 11,489.91/x
  3. Step 3: Cross multiply
    33,681.72x = 50,527.76 × 11,489.91
  4. Step 4: Simplify right side
    33,681.72x = 580,559,357.45
  5. Step 5: Solve for x
    x = 580,559,357.45/33,681.72
  6. Step 6: Final answer
    x = 17,236.63

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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.