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Finding the Fourth Proportional to 50,308.22, 69,425.16 and 27,648.74

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Solution

The fourth proportional to 50,308.22, 69,425.16 and 27,648.74 is: 38,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,308.22 : 69,425.16 = 27,648.74 : x
  2. Step 2: Convert to fraction form
    50,308.22/69,425.16 = 27,648.74/x
  3. Step 3: Cross multiply
    50,308.22x = 69,425.16 × 27,648.74
  4. Step 4: Simplify right side
    50,308.22x = 1,919,518,198.30
  5. Step 5: Solve for x
    x = 1,919,518,198.30/50,308.22
  6. Step 6: Final answer
    x = 38,155.16

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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.