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Finding the Fourth Proportional to 34,114.50, 47,082.87 and 32,620.05

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Solution

The fourth proportional to 34,114.50, 47,082.87 and 32,620.05 is: 45,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,114.50 : 47,082.87 = 32,620.05 : x
  2. Step 2: Convert to fraction form
    34,114.50/47,082.87 = 32,620.05/x
  3. Step 3: Cross multiply
    34,114.50x = 47,082.87 × 32,620.05
  4. Step 4: Simplify right side
    34,114.50x = 1,535,845,573.54
  5. Step 5: Solve for x
    x = 1,535,845,573.54/34,114.50
  6. Step 6: Final answer
    x = 45,020.32

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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.