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Finding the Fourth Proportional to 46,755.39, 64,535.83 and 27,638.38

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Solution

The fourth proportional to 46,755.39, 64,535.83 and 27,638.38 is: 38,148.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,755.39 : 64,535.83 = 27,638.38 : x
  2. Step 2: Convert to fraction form
    46,755.39/64,535.83 = 27,638.38/x
  3. Step 3: Cross multiply
    46,755.39x = 64,535.83 × 27,638.38
  4. Step 4: Simplify right side
    46,755.39x = 1,783,665,793.16
  5. Step 5: Solve for x
    x = 1,783,665,793.16/46,755.39
  6. Step 6: Final answer
    x = 38,148.88

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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.