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Finding the Fourth Proportional to 48,133.44, 72,232.56 and 21,824.64

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Solution

The fourth proportional to 48,133.44, 72,232.56 and 21,824.64 is: 32,751.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,133.44 : 72,232.56 = 21,824.64 : x
  2. Step 2: Convert to fraction form
    48,133.44/72,232.56 = 21,824.64/x
  3. Step 3: Cross multiply
    48,133.44x = 72,232.56 × 21,824.64
  4. Step 4: Simplify right side
    48,133.44x = 1,576,449,618.28
  5. Step 5: Solve for x
    x = 1,576,449,618.28/48,133.44
  6. Step 6: Final answer
    x = 32,751.65

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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.