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Finding the Fourth Proportional to 47,843.96, 65,956.22 and 33,652.76

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Solution

The fourth proportional to 47,843.96, 65,956.22 and 33,652.76 is: 46,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843.96 : 65,956.22 = 33,652.76 : x
  2. Step 2: Convert to fraction form
    47,843.96/65,956.22 = 33,652.76/x
  3. Step 3: Cross multiply
    47,843.96x = 65,956.22 × 33,652.76
  4. Step 4: Simplify right side
    47,843.96x = 2,219,608,344.12
  5. Step 5: Solve for x
    x = 2,219,608,344.12/47,843.96
  6. Step 6: Final answer
    x = 46,392.66

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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.