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Finding the Fourth Proportional to 31,096.38, 42,913.44 and 16,949.20

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Solution

The fourth proportional to 31,096.38, 42,913.44 and 16,949.20 is: 23,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,096.38 : 42,913.44 = 16,949.20 : x
  2. Step 2: Convert to fraction form
    31,096.38/42,913.44 = 16,949.20/x
  3. Step 3: Cross multiply
    31,096.38x = 42,913.44 × 16,949.20
  4. Step 4: Simplify right side
    31,096.38x = 727,348,477.25
  5. Step 5: Solve for x
    x = 727,348,477.25/31,096.38
  6. Step 6: Final answer
    x = 23,390.13

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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.