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Finding the Fourth Proportional to 47,874.88, 66,076.86 and 27,736.24

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Solution

The fourth proportional to 47,874.88, 66,076.86 and 27,736.24 is: 38,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,874.88 : 66,076.86 = 27,736.24 : x
  2. Step 2: Convert to fraction form
    47,874.88/66,076.86 = 27,736.24/x
  3. Step 3: Cross multiply
    47,874.88x = 66,076.86 × 27,736.24
  4. Step 4: Simplify right side
    47,874.88x = 1,832,723,647.41
  5. Step 5: Solve for x
    x = 1,832,723,647.41/47,874.88
  6. Step 6: Final answer
    x = 38,281.53

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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.