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Finding the Fourth Proportional to 51,987.75, 71,743.10 and 28,114.43

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Solution

The fourth proportional to 51,987.75, 71,743.10 and 28,114.43 is: 38,797.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987.75 : 71,743.10 = 28,114.43 : x
  2. Step 2: Convert to fraction form
    51,987.75/71,743.10 = 28,114.43/x
  3. Step 3: Cross multiply
    51,987.75x = 71,743.10 × 28,114.43
  4. Step 4: Simplify right side
    51,987.75x = 2,017,016,362.93
  5. Step 5: Solve for x
    x = 2,017,016,362.93/51,987.75
  6. Step 6: Final answer
    x = 38,797.92

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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.