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Finding the Fourth Proportional to 31,580.58, 43,579.47 and 19,643.82

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Solution

The fourth proportional to 31,580.58, 43,579.47 and 19,643.82 is: 27,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.58 : 43,579.47 = 19,643.82 : x
  2. Step 2: Convert to fraction form
    31,580.58/43,579.47 = 19,643.82/x
  3. Step 3: Cross multiply
    31,580.58x = 43,579.47 × 19,643.82
  4. Step 4: Simplify right side
    31,580.58x = 856,067,064.12
  5. Step 5: Solve for x
    x = 856,067,064.12/31,580.58
  6. Step 6: Final answer
    x = 27,107.39

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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.