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Finding the Fourth Proportional to 59,343, 81,893.34 and 32,847

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Solution

The fourth proportional to 59,343, 81,893.34 and 32,847 is: 45,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,343 : 81,893.34 = 32,847 : x
  2. Step 2: Convert to fraction form
    59,343/81,893.34 = 32,847/x
  3. Step 3: Cross multiply
    59,343x = 81,893.34 × 32,847
  4. Step 4: Simplify right side
    59,343x = 2,689,950,538.98
  5. Step 5: Solve for x
    x = 2,689,950,538.98/59,343
  6. Step 6: Final answer
    x = 45,328.86

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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.