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Finding the Fourth Proportional to 52,175.98, 78,268.65 and 14,736.43

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Solution

The fourth proportional to 52,175.98, 78,268.65 and 14,736.43 is: 22,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,175.98 : 78,268.65 = 14,736.43 : x
  2. Step 2: Convert to fraction form
    52,175.98/78,268.65 = 14,736.43/x
  3. Step 3: Cross multiply
    52,175.98x = 78,268.65 × 14,736.43
  4. Step 4: Simplify right side
    52,175.98x = 1,153,400,481.92
  5. Step 5: Solve for x
    x = 1,153,400,481.92/52,175.98
  6. Step 6: Final answer
    x = 22,105.97

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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.