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Finding the Fourth Proportional to 35,472.96, 48,951.84 and 20,568

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Solution

The fourth proportional to 35,472.96, 48,951.84 and 20,568 is: 28,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,472.96 : 48,951.84 = 20,568 : x
  2. Step 2: Convert to fraction form
    35,472.96/48,951.84 = 20,568/x
  3. Step 3: Cross multiply
    35,472.96x = 48,951.84 × 20,568
  4. Step 4: Simplify right side
    35,472.96x = 1,006,841,445.12
  5. Step 5: Solve for x
    x = 1,006,841,445.12/35,472.96
  6. Step 6: Final answer
    x = 28,383.35

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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.