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Finding the Fourth Proportional to 47,204.64, 65,139.90 and 25,979.82

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Solution

The fourth proportional to 47,204.64, 65,139.90 and 25,979.82 is: 35,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,204.64 : 65,139.90 = 25,979.82 : x
  2. Step 2: Convert to fraction form
    47,204.64/65,139.90 = 25,979.82/x
  3. Step 3: Cross multiply
    47,204.64x = 65,139.90 × 25,979.82
  4. Step 4: Simplify right side
    47,204.64x = 1,692,322,876.82
  5. Step 5: Solve for x
    x = 1,692,322,876.82/47,204.64
  6. Step 6: Final answer
    x = 35,850.77

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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.