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Finding the Fourth Proportional to 47,876.03, 66,080.56 and 27,729.66

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Solution

The fourth proportional to 47,876.03, 66,080.56 and 27,729.66 is: 38,273.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,876.03 : 66,080.56 = 27,729.66 : x
  2. Step 2: Convert to fraction form
    47,876.03/66,080.56 = 27,729.66/x
  3. Step 3: Cross multiply
    47,876.03x = 66,080.56 × 27,729.66
  4. Step 4: Simplify right side
    47,876.03x = 1,832,391,392.09
  5. Step 5: Solve for x
    x = 1,832,391,392.09/47,876.03
  6. Step 6: Final answer
    x = 38,273.67

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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.