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Finding the Fourth Proportional to 31,690.88, 43,733.76 and 17,544

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Solution

The fourth proportional to 31,690.88, 43,733.76 and 17,544 is: 24,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.88 : 43,733.76 = 17,544 : x
  2. Step 2: Convert to fraction form
    31,690.88/43,733.76 = 17,544/x
  3. Step 3: Cross multiply
    31,690.88x = 43,733.76 × 17,544
  4. Step 4: Simplify right side
    31,690.88x = 767,265,085.44
  5. Step 5: Solve for x
    x = 767,265,085.44/31,690.88
  6. Step 6: Final answer
    x = 24,210.91

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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.