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Finding the Fourth Proportional to 33,462.64, 50,203.14 and 27,207.10

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Solution

The fourth proportional to 33,462.64, 50,203.14 and 27,207.10 is: 40,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462.64 : 50,203.14 = 27,207.10 : x
  2. Step 2: Convert to fraction form
    33,462.64/50,203.14 = 27,207.10/x
  3. Step 3: Cross multiply
    33,462.64x = 50,203.14 × 27,207.10
  4. Step 4: Simplify right side
    33,462.64x = 1,365,881,850.29
  5. Step 5: Solve for x
    x = 1,365,881,850.29/33,462.64
  6. Step 6: Final answer
    x = 40,818.11

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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.