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Finding the Fourth Proportional to 47,425.20, 65,448.69 and 27,282.09

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Solution

The fourth proportional to 47,425.20, 65,448.69 and 27,282.09 is: 37,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,425.20 : 65,448.69 = 27,282.09 : x
  2. Step 2: Convert to fraction form
    47,425.20/65,448.69 = 27,282.09/x
  3. Step 3: Cross multiply
    47,425.20x = 65,448.69 × 27,282.09
  4. Step 4: Simplify right side
    47,425.20x = 1,785,577,050.96
  5. Step 5: Solve for x
    x = 1,785,577,050.96/47,425.20
  6. Step 6: Final answer
    x = 37,650.39

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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.