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Finding the Fourth Proportional to 35,006, 48,310.20 and 20,102.96

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Solution

The fourth proportional to 35,006, 48,310.20 and 20,102.96 is: 27,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,006 : 48,310.20 = 20,102.96 : x
  2. Step 2: Convert to fraction form
    35,006/48,310.20 = 20,102.96/x
  3. Step 3: Cross multiply
    35,006x = 48,310.20 × 20,102.96
  4. Step 4: Simplify right side
    35,006x = 971,178,018.19
  5. Step 5: Solve for x
    x = 971,178,018.19/35,006
  6. Step 6: Final answer
    x = 27,743.19

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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.