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Finding the Fourth Proportional to 31,402.12, 43,335.72 and 17,255.32

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Solution

The fourth proportional to 31,402.12, 43,335.72 and 17,255.32 is: 23,812.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.12 : 43,335.72 = 17,255.32 : x
  2. Step 2: Convert to fraction form
    31,402.12/43,335.72 = 17,255.32/x
  3. Step 3: Cross multiply
    31,402.12x = 43,335.72 × 17,255.32
  4. Step 4: Simplify right side
    31,402.12x = 747,771,716.03
  5. Step 5: Solve for x
    x = 747,771,716.03/31,402.12
  6. Step 6: Final answer
    x = 23,812.78

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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.