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Finding the Fourth Proportional to 55,713.78, 83,597.94 and 27,636.48

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Solution

The fourth proportional to 55,713.78, 83,597.94 and 27,636.48 is: 41,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,713.78 : 83,597.94 = 27,636.48 : x
  2. Step 2: Convert to fraction form
    55,713.78/83,597.94 = 27,636.48/x
  3. Step 3: Cross multiply
    55,713.78x = 83,597.94 × 27,636.48
  4. Step 4: Simplify right side
    55,713.78x = 2,310,352,796.85
  5. Step 5: Solve for x
    x = 2,310,352,796.85/55,713.78
  6. Step 6: Final answer
    x = 41,468.25

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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.