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Finding the Fourth Proportional to 52,107.49, 71,908.12 and 28,234.26

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Solution

The fourth proportional to 52,107.49, 71,908.12 and 28,234.26 is: 38,963.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.49 : 71,908.12 = 28,234.26 : x
  2. Step 2: Convert to fraction form
    52,107.49/71,908.12 = 28,234.26/x
  3. Step 3: Cross multiply
    52,107.49x = 71,908.12 × 28,234.26
  4. Step 4: Simplify right side
    52,107.49x = 2,030,272,556.19
  5. Step 5: Solve for x
    x = 2,030,272,556.19/52,107.49
  6. Step 6: Final answer
    x = 38,963.16

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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.