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Finding the Fourth Proportional to 52,027.25, 71,797.66 and 28,153.92

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Solution

The fourth proportional to 52,027.25, 71,797.66 and 28,153.92 is: 38,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,027.25 : 71,797.66 = 28,153.92 : x
  2. Step 2: Convert to fraction form
    52,027.25/71,797.66 = 28,153.92/x
  3. Step 3: Cross multiply
    52,027.25x = 71,797.66 × 28,153.92
  4. Step 4: Simplify right side
    52,027.25x = 2,021,385,370.82
  5. Step 5: Solve for x
    x = 2,021,385,370.82/52,027.25
  6. Step 6: Final answer
    x = 38,852.44

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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.