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Finding the Fourth Proportional to 52,018.21, 71,785.13 and 28,144.88

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Solution

The fourth proportional to 52,018.21, 71,785.13 and 28,144.88 is: 38,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,018.21 : 71,785.13 = 28,144.88 : x
  2. Step 2: Convert to fraction form
    52,018.21/71,785.13 = 28,144.88/x
  3. Step 3: Cross multiply
    52,018.21x = 71,785.13 × 28,144.88
  4. Step 4: Simplify right side
    52,018.21x = 2,020,384,122.13
  5. Step 5: Solve for x
    x = 2,020,384,122.13/52,018.21
  6. Step 6: Final answer
    x = 38,839.94

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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.