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Finding the Fourth Proportional to 47,962.70, 66,187.22 and 27,818.30

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Solution

The fourth proportional to 47,962.70, 66,187.22 and 27,818.30 is: 38,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,962.70 : 66,187.22 = 27,818.30 : x
  2. Step 2: Convert to fraction form
    47,962.70/66,187.22 = 27,818.30/x
  3. Step 3: Cross multiply
    47,962.70x = 66,187.22 × 27,818.30
  4. Step 4: Simplify right side
    47,962.70x = 1,841,215,942.13
  5. Step 5: Solve for x
    x = 1,841,215,942.13/47,962.70
  6. Step 6: Final answer
    x = 38,388.50

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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.