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Finding the Fourth Proportional to 30,160.92, 41,623.38 and 20,073.24

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Solution

The fourth proportional to 30,160.92, 41,623.38 and 20,073.24 is: 27,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160.92 : 41,623.38 = 20,073.24 : x
  2. Step 2: Convert to fraction form
    30,160.92/41,623.38 = 20,073.24/x
  3. Step 3: Cross multiply
    30,160.92x = 41,623.38 × 20,073.24
  4. Step 4: Simplify right side
    30,160.92x = 835,516,096.35
  5. Step 5: Solve for x
    x = 835,516,096.35/30,160.92
  6. Step 6: Final answer
    x = 27,701.94

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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.