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Finding the Fourth Proportional to 52,080.89, 71,871.59 and 28,207.55

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Solution

The fourth proportional to 52,080.89, 71,871.59 and 28,207.55 is: 38,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080.89 : 71,871.59 = 28,207.55 : x
  2. Step 2: Convert to fraction form
    52,080.89/71,871.59 = 28,207.55/x
  3. Step 3: Cross multiply
    52,080.89x = 71,871.59 × 28,207.55
  4. Step 4: Simplify right side
    52,080.89x = 2,027,321,718.70
  5. Step 5: Solve for x
    x = 2,027,321,718.70/52,080.89
  6. Step 6: Final answer
    x = 38,926.41

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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.