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Finding the Fourth Proportional to 52,090.20, 71,884.82 and 28,216.87

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Solution

The fourth proportional to 52,090.20, 71,884.82 and 28,216.87 is: 38,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.20 : 71,884.82 = 28,216.87 : x
  2. Step 2: Convert to fraction form
    52,090.20/71,884.82 = 28,216.87/x
  3. Step 3: Cross multiply
    52,090.20x = 71,884.82 × 28,216.87
  4. Step 4: Simplify right side
    52,090.20x = 2,028,364,800.63
  5. Step 5: Solve for x
    x = 2,028,364,800.63/52,090.20
  6. Step 6: Final answer
    x = 38,939.47

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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.