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Finding the Fourth Proportional to 52,077.30, 71,866.49 and 28,203.96

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Solution

The fourth proportional to 52,077.30, 71,866.49 and 28,203.96 is: 38,921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.30 : 71,866.49 = 28,203.96 : x
  2. Step 2: Convert to fraction form
    52,077.30/71,866.49 = 28,203.96/x
  3. Step 3: Cross multiply
    52,077.30x = 71,866.49 × 28,203.96
  4. Step 4: Simplify right side
    52,077.30x = 2,026,919,896.43
  5. Step 5: Solve for x
    x = 2,026,919,896.43/52,077.30
  6. Step 6: Final answer
    x = 38,921.37

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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.