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Finding the Fourth Proportional to 47,640.25, 65,738.82 and 27,503.63

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Solution

The fourth proportional to 47,640.25, 65,738.82 and 27,503.63 is: 37,952.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640.25 : 65,738.82 = 27,503.63 : x
  2. Step 2: Convert to fraction form
    47,640.25/65,738.82 = 27,503.63/x
  3. Step 3: Cross multiply
    47,640.25x = 65,738.82 × 27,503.63
  4. Step 4: Simplify right side
    47,640.25x = 1,808,056,181.92
  5. Step 5: Solve for x
    x = 1,808,056,181.92/47,640.25
  6. Step 6: Final answer
    x = 37,952.28

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1.5x scale

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.