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Finding the Fourth Proportional to 38,415.20, 57,622.80 and 33,807.20

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Solution

The fourth proportional to 38,415.20, 57,622.80 and 33,807.20 is: 50,710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.20 : 57,622.80 = 33,807.20 : x
  2. Step 2: Convert to fraction form
    38,415.20/57,622.80 = 33,807.20/x
  3. Step 3: Cross multiply
    38,415.20x = 57,622.80 × 33,807.20
  4. Step 4: Simplify right side
    38,415.20x = 1,948,065,524.16
  5. Step 5: Solve for x
    x = 1,948,065,524.16/38,415.20
  6. Step 6: Final answer
    x = 50,710.80

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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.