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Finding the Fourth Proportional to 52,072.49, 71,859.93 and 28,199.09

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Solution

The fourth proportional to 52,072.49, 71,859.93 and 28,199.09 is: 38,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.49 : 71,859.93 = 28,199.09 : x
  2. Step 2: Convert to fraction form
    52,072.49/71,859.93 = 28,199.09/x
  3. Step 3: Cross multiply
    52,072.49x = 71,859.93 × 28,199.09
  4. Step 4: Simplify right side
    52,072.49x = 2,026,384,813.11
  5. Step 5: Solve for x
    x = 2,026,384,813.11/52,072.49
  6. Step 6: Final answer
    x = 38,914.69

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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.