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Finding the Fourth Proportional to 52,523.81, 78,786.40 and 17,463.47

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Solution

The fourth proportional to 52,523.81, 78,786.40 and 17,463.47 is: 26,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,523.81 : 78,786.40 = 17,463.47 : x
  2. Step 2: Convert to fraction form
    52,523.81/78,786.40 = 17,463.47/x
  3. Step 3: Cross multiply
    52,523.81x = 78,786.40 × 17,463.47
  4. Step 4: Simplify right side
    52,523.81x = 1,375,883,856.15
  5. Step 5: Solve for x
    x = 1,375,883,856.15/52,523.81
  6. Step 6: Final answer
    x = 26,195.43

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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.