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Finding the Fourth Proportional to 31,052.43, 42,851.00 and 16,905.27

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Solution

The fourth proportional to 31,052.43, 42,851.00 and 16,905.27 is: 23,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.43 : 42,851.00 = 16,905.27 : x
  2. Step 2: Convert to fraction form
    31,052.43/42,851.00 = 16,905.27/x
  3. Step 3: Cross multiply
    31,052.43x = 42,851.00 × 16,905.27
  4. Step 4: Simplify right side
    31,052.43x = 724,407,640.24
  5. Step 5: Solve for x
    x = 724,407,640.24/31,052.43
  6. Step 6: Final answer
    x = 23,328.53

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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.