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Finding the Fourth Proportional to 52,035.82, 71,809.64 and 28,162.49

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Solution

The fourth proportional to 52,035.82, 71,809.64 and 28,162.49 is: 38,864.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.82 : 71,809.64 = 28,162.49 : x
  2. Step 2: Convert to fraction form
    52,035.82/71,809.64 = 28,162.49/x
  3. Step 3: Cross multiply
    52,035.82x = 71,809.64 × 28,162.49
  4. Step 4: Simplify right side
    52,035.82x = 2,022,337,874.15
  5. Step 5: Solve for x
    x = 2,022,337,874.15/52,035.82
  6. Step 6: Final answer
    x = 38,864.34

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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.