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Finding the Fourth Proportional to 82,832.90, 114,310.78 and 47,023.98

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Solution

The fourth proportional to 82,832.90, 114,310.78 and 47,023.98 is: 64,893.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.90 : 114,310.78 = 47,023.98 : x
  2. Step 2: Convert to fraction form
    82,832.90/114,310.78 = 47,023.98/x
  3. Step 3: Cross multiply
    82,832.90x = 114,310.78 × 47,023.98
  4. Step 4: Simplify right side
    82,832.90x = 5,375,347,832.50
  5. Step 5: Solve for x
    x = 5,375,347,832.50/82,832.90
  6. Step 6: Final answer
    x = 64,893.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.