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Finding the Fourth Proportional to 31,090.92, 42,905.28 and 16,943.76

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Solution

The fourth proportional to 31,090.92, 42,905.28 and 16,943.76 is: 23,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,090.92 : 42,905.28 = 16,943.76 : x
  2. Step 2: Convert to fraction form
    31,090.92/42,905.28 = 16,943.76/x
  3. Step 3: Cross multiply
    31,090.92x = 42,905.28 × 16,943.76
  4. Step 4: Simplify right side
    31,090.92x = 726,976,767.05
  5. Step 5: Solve for x
    x = 726,976,767.05/31,090.92
  6. Step 6: Final answer
    x = 23,382.29

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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.