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Finding the Fourth Proportional to 75,200.88, 112,816.20 and 33,648.24

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Solution

The fourth proportional to 75,200.88, 112,816.20 and 33,648.24 is: 50,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.88 : 112,816.20 = 33,648.24 : x
  2. Step 2: Convert to fraction form
    75,200.88/112,816.20 = 33,648.24/x
  3. Step 3: Cross multiply
    75,200.88x = 112,816.20 × 33,648.24
  4. Step 4: Simplify right side
    75,200.88x = 3,796,066,573.49
  5. Step 5: Solve for x
    x = 3,796,066,573.49/75,200.88
  6. Step 6: Final answer
    x = 50,479.02

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