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Finding the Fourth Proportional to 48,489.84, 66,837.96 and 36,205.38

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Solution

The fourth proportional to 48,489.84, 66,837.96 and 36,205.38 is: 49,905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,489.84 : 66,837.96 = 36,205.38 : x
  2. Step 2: Convert to fraction form
    48,489.84/66,837.96 = 36,205.38/x
  3. Step 3: Cross multiply
    48,489.84x = 66,837.96 × 36,205.38
  4. Step 4: Simplify right side
    48,489.84x = 2,419,893,740.22
  5. Step 5: Solve for x
    x = 2,419,893,740.22/48,489.84
  6. Step 6: Final answer
    x = 49,905.17

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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.