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Finding the Fourth Proportional to 47,953.82, 66,190.16 and 27,815.20

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Solution

The fourth proportional to 47,953.82, 66,190.16 and 27,815.20 is: 38,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,953.82 : 66,190.16 = 27,815.20 : x
  2. Step 2: Convert to fraction form
    47,953.82/66,190.16 = 27,815.20/x
  3. Step 3: Cross multiply
    47,953.82x = 66,190.16 × 27,815.20
  4. Step 4: Simplify right side
    47,953.82x = 1,841,092,442.49
  5. Step 5: Solve for x
    x = 1,841,092,442.49/47,953.82
  6. Step 6: Final answer
    x = 38,393.03

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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.