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Finding the Fourth Proportional to 31,090.88, 42,904.92 and 16,943.84

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Solution

The fourth proportional to 31,090.88, 42,904.92 and 16,943.84 is: 23,382.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.88 : 42,904.92 = 16,943.84 : x
  2. Step 2: Convert to fraction form
    31,090.88/42,904.92 = 16,943.84/x
  3. Step 3: Cross multiply
    31,090.88x = 42,904.92 × 16,943.84
  4. Step 4: Simplify right side
    31,090.88x = 726,974,099.69
  5. Step 5: Solve for x
    x = 726,974,099.69/31,090.88
  6. Step 6: Final answer
    x = 23,382.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.