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Finding the Fourth Proportional to 33,098.92, 45,683.70 and 20,363.02

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Solution

The fourth proportional to 33,098.92, 45,683.70 and 20,363.02 is: 28,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,098.92 : 45,683.70 = 20,363.02 : x
  2. Step 2: Convert to fraction form
    33,098.92/45,683.70 = 20,363.02/x
  3. Step 3: Cross multiply
    33,098.92x = 45,683.70 × 20,363.02
  4. Step 4: Simplify right side
    33,098.92x = 930,258,096.77
  5. Step 5: Solve for x
    x = 930,258,096.77/33,098.92
  6. Step 6: Final answer
    x = 28,105.39

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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.