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Finding the Fourth Proportional to 31,726.68, 43,782.84 and 17,579.76

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Solution

The fourth proportional to 31,726.68, 43,782.84 and 17,579.76 is: 24,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.68 : 43,782.84 = 17,579.76 : x
  2. Step 2: Convert to fraction form
    31,726.68/43,782.84 = 17,579.76/x
  3. Step 3: Cross multiply
    31,726.68x = 43,782.84 × 17,579.76
  4. Step 4: Simplify right side
    31,726.68x = 769,691,819.32
  5. Step 5: Solve for x
    x = 769,691,819.32/31,726.68
  6. Step 6: Final answer
    x = 24,260.08

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