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Finding the Fourth Proportional to 34,997.24, 48,295.14 and 19,082

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Solution

The fourth proportional to 34,997.24, 48,295.14 and 19,082 is: 26,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,997.24 : 48,295.14 = 19,082 : x
  2. Step 2: Convert to fraction form
    34,997.24/48,295.14 = 19,082/x
  3. Step 3: Cross multiply
    34,997.24x = 48,295.14 × 19,082
  4. Step 4: Simplify right side
    34,997.24x = 921,567,861.48
  5. Step 5: Solve for x
    x = 921,567,861.48/34,997.24
  6. Step 6: Final answer
    x = 26,332.59

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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.