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Finding the Fourth Proportional to 35,218.32, 48,662.64 and 27,724.56

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Solution

The fourth proportional to 35,218.32, 48,662.64 and 27,724.56 is: 38,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.32 : 48,662.64 = 27,724.56 : x
  2. Step 2: Convert to fraction form
    35,218.32/48,662.64 = 27,724.56/x
  3. Step 3: Cross multiply
    35,218.32x = 48,662.64 × 27,724.56
  4. Step 4: Simplify right side
    35,218.32x = 1,349,150,282.44
  5. Step 5: Solve for x
    x = 1,349,150,282.44/35,218.32
  6. Step 6: Final answer
    x = 38,308.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.