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Finding the Fourth Proportional to 31,690.88, 43,736.46 and 17,543.72

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Solution

The fourth proportional to 31,690.88, 43,736.46 and 17,543.72 is: 24,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.88 : 43,736.46 = 17,543.72 : x
  2. Step 2: Convert to fraction form
    31,690.88/43,736.46 = 17,543.72/x
  3. Step 3: Cross multiply
    31,690.88x = 43,736.46 × 17,543.72
  4. Step 4: Simplify right side
    31,690.88x = 767,300,251.58
  5. Step 5: Solve for x
    x = 767,300,251.58/31,690.88
  6. Step 6: Final answer
    x = 24,212.02

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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.