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Finding the Fourth Proportional to 47,203.92, 65,141.16 and 25,982.64

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Solution

The fourth proportional to 47,203.92, 65,141.16 and 25,982.64 is: 35,855.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.92 : 65,141.16 = 25,982.64 : x
  2. Step 2: Convert to fraction form
    47,203.92/65,141.16 = 25,982.64/x
  3. Step 3: Cross multiply
    47,203.92x = 65,141.16 × 25,982.64
  4. Step 4: Simplify right side
    47,203.92x = 1,692,539,309.46
  5. Step 5: Solve for x
    x = 1,692,539,309.46/47,203.92
  6. Step 6: Final answer
    x = 35,855.91

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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.