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Finding the Fourth Proportional to 52,107.12, 71,908.16 and 28,233.97

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Solution

The fourth proportional to 52,107.12, 71,908.16 and 28,233.97 is: 38,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,107.12 : 71,908.16 = 28,233.97 : x
  2. Step 2: Convert to fraction form
    52,107.12/71,908.16 = 28,233.97/x
  3. Step 3: Cross multiply
    52,107.12x = 71,908.16 × 28,233.97
  4. Step 4: Simplify right side
    52,107.12x = 2,030,252,511.25
  5. Step 5: Solve for x
    x = 2,030,252,511.25/52,107.12
  6. Step 6: Final answer
    x = 38,963.05

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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.