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Finding the Fourth Proportional to 31,104.54, 42,924.70 and 16,957.38

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Solution

The fourth proportional to 31,104.54, 42,924.70 and 16,957.38 is: 23,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.54 : 42,924.70 = 16,957.38 : x
  2. Step 2: Convert to fraction form
    31,104.54/42,924.70 = 16,957.38/x
  3. Step 3: Cross multiply
    31,104.54x = 42,924.70 × 16,957.38
  4. Step 4: Simplify right side
    31,104.54x = 727,890,449.29
  5. Step 5: Solve for x
    x = 727,890,449.29/31,104.54
  6. Step 6: Final answer
    x = 23,401.42

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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.