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Finding the Fourth Proportional to 31,656.16, 43,656.60 and 27,178.48

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Solution

The fourth proportional to 31,656.16, 43,656.60 and 27,178.48 is: 37,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.16 : 43,656.60 = 27,178.48 : x
  2. Step 2: Convert to fraction form
    31,656.16/43,656.60 = 27,178.48/x
  3. Step 3: Cross multiply
    31,656.16x = 43,656.60 × 27,178.48
  4. Step 4: Simplify right side
    31,656.16x = 1,186,520,029.97
  5. Step 5: Solve for x
    x = 1,186,520,029.97/31,656.16
  6. Step 6: Final answer
    x = 37,481.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.