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Finding the Fourth Proportional to 52,090.47, 71,884.94 and 28,217.34

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Solution

The fourth proportional to 52,090.47, 71,884.94 and 28,217.34 is: 38,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,090.47 : 71,884.94 = 28,217.34 : x
  2. Step 2: Convert to fraction form
    52,090.47/71,884.94 = 28,217.34/x
  3. Step 3: Cross multiply
    52,090.47x = 71,884.94 × 28,217.34
  4. Step 4: Simplify right side
    52,090.47x = 2,028,401,651.77
  5. Step 5: Solve for x
    x = 2,028,401,651.77/52,090.47
  6. Step 6: Final answer
    x = 38,939.98

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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.