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Finding the Fourth Proportional to 36,076.17, 53,850.07 and 31,815.19

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Solution

The fourth proportional to 36,076.17, 53,850.07 and 31,815.19 is: 47,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,076.17 : 53,850.07 = 31,815.19 : x
  2. Step 2: Convert to fraction form
    36,076.17/53,850.07 = 31,815.19/x
  3. Step 3: Cross multiply
    36,076.17x = 53,850.07 × 31,815.19
  4. Step 4: Simplify right side
    36,076.17x = 1,713,250,049.49
  5. Step 5: Solve for x
    x = 1,713,250,049.49/36,076.17
  6. Step 6: Final answer
    x = 47,489.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.