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Finding the Fourth Proportional to 31,112.96, 42,935.04 and 16,965.12

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Solution

The fourth proportional to 31,112.96, 42,935.04 and 16,965.12 is: 23,411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112.96 : 42,935.04 = 16,965.12 : x
  2. Step 2: Convert to fraction form
    31,112.96/42,935.04 = 16,965.12/x
  3. Step 3: Cross multiply
    31,112.96x = 42,935.04 × 16,965.12
  4. Step 4: Simplify right side
    31,112.96x = 728,398,105.80
  5. Step 5: Solve for x
    x = 728,398,105.80/31,112.96
  6. Step 6: Final answer
    x = 23,411.40

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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.