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Finding the Fourth Proportional to 47,953.32, 66,175.86 and 27,822.19

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Solution

The fourth proportional to 47,953.32, 66,175.86 and 27,822.19 is: 38,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,953.32 : 66,175.86 = 27,822.19 : x
  2. Step 2: Convert to fraction form
    47,953.32/66,175.86 = 27,822.19/x
  3. Step 3: Cross multiply
    47,953.32x = 66,175.86 × 27,822.19
  4. Step 4: Simplify right side
    47,953.32x = 1,841,157,350.33
  5. Step 5: Solve for x
    x = 1,841,157,350.33/47,953.32
  6. Step 6: Final answer
    x = 38,394.78

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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.