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Finding the Fourth Proportional to 31,725.46, 43,781.88 and 17,578

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Solution

The fourth proportional to 31,725.46, 43,781.88 and 17,578 is: 24,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,725.46 : 43,781.88 = 17,578 : x
  2. Step 2: Convert to fraction form
    31,725.46/43,781.88 = 17,578/x
  3. Step 3: Cross multiply
    31,725.46x = 43,781.88 × 17,578
  4. Step 4: Simplify right side
    31,725.46x = 769,597,886.64
  5. Step 5: Solve for x
    x = 769,597,886.64/31,725.46
  6. Step 6: Final answer
    x = 24,258.05

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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.