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Finding the Fourth Proportional to 31,924.39, 44,055.74 and 17,583.88

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Solution

The fourth proportional to 31,924.39, 44,055.74 and 17,583.88 is: 24,265.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,924.39 : 44,055.74 = 17,583.88 : x
  2. Step 2: Convert to fraction form
    31,924.39/44,055.74 = 17,583.88/x
  3. Step 3: Cross multiply
    31,924.39x = 44,055.74 × 17,583.88
  4. Step 4: Simplify right side
    31,924.39x = 774,670,845.47
  5. Step 5: Solve for x
    x = 774,670,845.47/31,924.39
  6. Step 6: Final answer
    x = 24,265.80

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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.