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Finding the Fourth Proportional to 31,714.76, 43,766.25 and 17,567.30

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Solution

The fourth proportional to 31,714.76, 43,766.25 and 17,567.30 is: 24,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.76 : 43,766.25 = 17,567.30 : x
  2. Step 2: Convert to fraction form
    31,714.76/43,766.25 = 17,567.30/x
  3. Step 3: Cross multiply
    31,714.76x = 43,766.25 × 17,567.30
  4. Step 4: Simplify right side
    31,714.76x = 768,854,843.63
  5. Step 5: Solve for x
    x = 768,854,843.63/31,714.76
  6. Step 6: Final answer
    x = 24,242.81

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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.