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Finding the Fourth Proportional to 33,096.38, 45,671.88 and 18,946.48

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Solution

The fourth proportional to 33,096.38, 45,671.88 and 18,946.48 is: 26,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,096.38 : 45,671.88 = 18,946.48 : x
  2. Step 2: Convert to fraction form
    33,096.38/45,671.88 = 18,946.48/x
  3. Step 3: Cross multiply
    33,096.38x = 45,671.88 × 18,946.48
  4. Step 4: Simplify right side
    33,096.38x = 865,321,360.98
  5. Step 5: Solve for x
    x = 865,321,360.98/33,096.38
  6. Step 6: Final answer
    x = 26,145.50

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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.