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Finding the Fourth Proportional to 31,241.64, 46,863.35 and 12,265.49

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Solution

The fourth proportional to 31,241.64, 46,863.35 and 12,265.49 is: 18,398.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,241.64 : 46,863.35 = 12,265.49 : x
  2. Step 2: Convert to fraction form
    31,241.64/46,863.35 = 12,265.49/x
  3. Step 3: Cross multiply
    31,241.64x = 46,863.35 × 12,265.49
  4. Step 4: Simplify right side
    31,241.64x = 574,801,655.15
  5. Step 5: Solve for x
    x = 574,801,655.15/31,241.64
  6. Step 6: Final answer
    x = 18,398.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.