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Finding the Fourth Proportional to 52,102.90, 71,898.60 and 33,238

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Solution

The fourth proportional to 52,102.90, 71,898.60 and 33,238 is: 45,866.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.90 : 71,898.60 = 33,238 : x
  2. Step 2: Convert to fraction form
    52,102.90/71,898.60 = 33,238/x
  3. Step 3: Cross multiply
    52,102.90x = 71,898.60 × 33,238
  4. Step 4: Simplify right side
    52,102.90x = 2,389,765,666.80
  5. Step 5: Solve for x
    x = 2,389,765,666.80/52,102.90
  6. Step 6: Final answer
    x = 45,866.27

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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.