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Finding the Fourth Proportional to 31,091.46, 42,904.98 and 16,944

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Solution

The fourth proportional to 31,091.46, 42,904.98 and 16,944 is: 23,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,091.46 : 42,904.98 = 16,944 : x
  2. Step 2: Convert to fraction form
    31,091.46/42,904.98 = 16,944/x
  3. Step 3: Cross multiply
    31,091.46x = 42,904.98 × 16,944
  4. Step 4: Simplify right side
    31,091.46x = 726,981,981.12
  5. Step 5: Solve for x
    x = 726,981,981.12/31,091.46
  6. Step 6: Final answer
    x = 23,382.05

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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.