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Finding the Fourth Proportional to 31,415.64, 43,353 and 17,268.18

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Solution

The fourth proportional to 31,415.64, 43,353 and 17,268.18 is: 23,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,415.64 : 43,353 = 17,268.18 : x
  2. Step 2: Convert to fraction form
    31,415.64/43,353 = 17,268.18/x
  3. Step 3: Cross multiply
    31,415.64x = 43,353 × 17,268.18
  4. Step 4: Simplify right side
    31,415.64x = 748,627,407.54
  5. Step 5: Solve for x
    x = 748,627,407.54/31,415.64
  6. Step 6: Final answer
    x = 23,829.77

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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.