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Finding the Fourth Proportional to 35,704.60, 49,274.02 and 19,789.31

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Solution

The fourth proportional to 35,704.60, 49,274.02 and 19,789.31 is: 27,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.60 : 49,274.02 = 19,789.31 : x
  2. Step 2: Convert to fraction form
    35,704.60/49,274.02 = 19,789.31/x
  3. Step 3: Cross multiply
    35,704.60x = 49,274.02 × 19,789.31
  4. Step 4: Simplify right side
    35,704.60x = 975,099,004.65
  5. Step 5: Solve for x
    x = 975,099,004.65/35,704.60
  6. Step 6: Final answer
    x = 27,310.18

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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.