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Finding the Fourth Proportional to 52,021, 78,018.44 and 14,571.38

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Solution

The fourth proportional to 52,021, 78,018.44 and 14,571.38 is: 21,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,021 : 78,018.44 = 14,571.38 : x
  2. Step 2: Convert to fraction form
    52,021/78,018.44 = 14,571.38/x
  3. Step 3: Cross multiply
    52,021x = 78,018.44 × 14,571.38
  4. Step 4: Simplify right side
    52,021x = 1,136,836,336.25
  5. Step 5: Solve for x
    x = 1,136,836,336.25/52,021
  6. Step 6: Final answer
    x = 21,853.41

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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.