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Finding the Fourth Proportional to 35,500.81, 49,020.60 and 31,717.30

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Solution

The fourth proportional to 35,500.81, 49,020.60 and 31,717.30 is: 43,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,500.81 : 49,020.60 = 31,717.30 : x
  2. Step 2: Convert to fraction form
    35,500.81/49,020.60 = 31,717.30/x
  3. Step 3: Cross multiply
    35,500.81x = 49,020.60 × 31,717.30
  4. Step 4: Simplify right side
    35,500.81x = 1,554,801,076.38
  5. Step 5: Solve for x
    x = 1,554,801,076.38/35,500.81
  6. Step 6: Final answer
    x = 43,796.21

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Why These Related Problems?

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