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Finding the Fourth Proportional to 33,415.40, 50,123.10 and 28,166.60

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Solution

The fourth proportional to 33,415.40, 50,123.10 and 28,166.60 is: 42,249.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,415.40 : 50,123.10 = 28,166.60 : x
  2. Step 2: Convert to fraction form
    33,415.40/50,123.10 = 28,166.60/x
  3. Step 3: Cross multiply
    33,415.40x = 50,123.10 × 28,166.60
  4. Step 4: Simplify right side
    33,415.40x = 1,411,797,308.46
  5. Step 5: Solve for x
    x = 1,411,797,308.46/33,415.40
  6. Step 6: Final answer
    x = 42,249.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.