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Finding the Fourth Proportional to 53,065.64, 73,234.08 and 31,549.64

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Solution

The fourth proportional to 53,065.64, 73,234.08 and 31,549.64 is: 43,540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065.64 : 73,234.08 = 31,549.64 : x
  2. Step 2: Convert to fraction form
    53,065.64/73,234.08 = 31,549.64/x
  3. Step 3: Cross multiply
    53,065.64x = 73,234.08 × 31,549.64
  4. Step 4: Simplify right side
    53,065.64x = 2,310,508,859.73
  5. Step 5: Solve for x
    x = 2,310,508,859.73/53,065.64
  6. Step 6: Final answer
    x = 43,540.58

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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.