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Finding the Fourth Proportional to 46,753.98, 64,520.46 and 27,640.68

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Solution

The fourth proportional to 46,753.98, 64,520.46 and 27,640.68 is: 38,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,753.98 : 64,520.46 = 27,640.68 : x
  2. Step 2: Convert to fraction form
    46,753.98/64,520.46 = 27,640.68/x
  3. Step 3: Cross multiply
    46,753.98x = 64,520.46 × 27,640.68
  4. Step 4: Simplify right side
    46,753.98x = 1,783,389,388.31
  5. Step 5: Solve for x
    x = 1,783,389,388.31/46,753.98
  6. Step 6: Final answer
    x = 38,144.12

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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.