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Finding the Fourth Proportional to 31,087.80, 42,901.16 and 16,940.63

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Solution

The fourth proportional to 31,087.80, 42,901.16 and 16,940.63 is: 23,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,087.80 : 42,901.16 = 16,940.63 : x
  2. Step 2: Convert to fraction form
    31,087.80/42,901.16 = 16,940.63/x
  3. Step 3: Cross multiply
    31,087.80x = 42,901.16 × 16,940.63
  4. Step 4: Simplify right side
    31,087.80x = 726,772,700.68
  5. Step 5: Solve for x
    x = 726,772,700.68/31,087.80
  6. Step 6: Final answer
    x = 23,378.07

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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.