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Finding the Fourth Proportional to 34,191.50, 47,181 and 19,082.96

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Solution

The fourth proportional to 34,191.50, 47,181 and 19,082.96 is: 26,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.50 : 47,181 = 19,082.96 : x
  2. Step 2: Convert to fraction form
    34,191.50/47,181 = 19,082.96/x
  3. Step 3: Cross multiply
    34,191.50x = 47,181 × 19,082.96
  4. Step 4: Simplify right side
    34,191.50x = 900,353,135.76
  5. Step 5: Solve for x
    x = 900,353,135.76/34,191.50
  6. Step 6: Final answer
    x = 26,332.66

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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.