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Finding the Fourth Proportional to 52,144.59, 71,959.89 and 28,271.64

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Solution

The fourth proportional to 52,144.59, 71,959.89 and 28,271.64 is: 39,015.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,144.59 : 71,959.89 = 28,271.64 : x
  2. Step 2: Convert to fraction form
    52,144.59/71,959.89 = 28,271.64/x
  3. Step 3: Cross multiply
    52,144.59x = 71,959.89 × 28,271.64
  4. Step 4: Simplify right side
    52,144.59x = 2,034,424,104.52
  5. Step 5: Solve for x
    x = 2,034,424,104.52/52,144.59
  6. Step 6: Final answer
    x = 39,015.06

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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.