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Finding the Fourth Proportional to 103,524.40, 155,308.20 and 33,410.80

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Solution

The fourth proportional to 103,524.40, 155,308.20 and 33,410.80 is: 50,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,524.40 : 155,308.20 = 33,410.80 : x
  2. Step 2: Convert to fraction form
    103,524.40/155,308.20 = 33,410.80/x
  3. Step 3: Cross multiply
    103,524.40x = 155,308.20 × 33,410.80
  4. Step 4: Simplify right side
    103,524.40x = 5,188,971,208.56
  5. Step 5: Solve for x
    x = 5,188,971,208.56/103,524.40
  6. Step 6: Final answer
    x = 50,123.17

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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.