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Finding the Fourth Proportional to 34,043.68, 51,066.87 and 11,859.31

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Solution

The fourth proportional to 34,043.68, 51,066.87 and 11,859.31 is: 17,789.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,043.68 : 51,066.87 = 11,859.31 : x
  2. Step 2: Convert to fraction form
    34,043.68/51,066.87 = 11,859.31/x
  3. Step 3: Cross multiply
    34,043.68x = 51,066.87 × 11,859.31
  4. Step 4: Simplify right side
    34,043.68x = 605,617,842.06
  5. Step 5: Solve for x
    x = 605,617,842.06/34,043.68
  6. Step 6: Final answer
    x = 17,789.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.