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Finding the Fourth Proportional to 38,224, 57,350.60 and 14,852.28

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Solution

The fourth proportional to 38,224, 57,350.60 and 14,852.28 is: 22,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,224 : 57,350.60 = 14,852.28 : x
  2. Step 2: Convert to fraction form
    38,224/57,350.60 = 14,852.28/x
  3. Step 3: Cross multiply
    38,224x = 57,350.60 × 14,852.28
  4. Step 4: Simplify right side
    38,224x = 851,787,169.37
  5. Step 5: Solve for x
    x = 851,787,169.37/38,224
  6. Step 6: Final answer
    x = 22,284.09

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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.