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Finding the Fourth Proportional to 35,214.69, 48,593.86 and 20,107.96

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Solution

The fourth proportional to 35,214.69, 48,593.86 and 20,107.96 is: 27,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,214.69 : 48,593.86 = 20,107.96 : x
  2. Step 2: Convert to fraction form
    35,214.69/48,593.86 = 20,107.96/x
  3. Step 3: Cross multiply
    35,214.69x = 48,593.86 × 20,107.96
  4. Step 4: Simplify right side
    35,214.69x = 977,123,393.13
  5. Step 5: Solve for x
    x = 977,123,393.13/35,214.69
  6. Step 6: Final answer
    x = 27,747.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.