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Finding the Fourth Proportional to 47,887.56, 66,080.60 and 27,738

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Solution

The fourth proportional to 47,887.56, 66,080.60 and 27,738 is: 38,275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,887.56 : 66,080.60 = 27,738 : x
  2. Step 2: Convert to fraction form
    47,887.56/66,080.60 = 27,738/x
  3. Step 3: Cross multiply
    47,887.56x = 66,080.60 × 27,738
  4. Step 4: Simplify right side
    47,887.56x = 1,832,943,682.80
  5. Step 5: Solve for x
    x = 1,832,943,682.80/47,887.56
  6. Step 6: Final answer
    x = 38,275.99

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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.