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Finding the Fourth Proportional to 30,082.32, 41,497.52 and 19,453.50

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Solution

The fourth proportional to 30,082.32, 41,497.52 and 19,453.50 is: 26,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,082.32 : 41,497.52 = 19,453.50 : x
  2. Step 2: Convert to fraction form
    30,082.32/41,497.52 = 19,453.50/x
  3. Step 3: Cross multiply
    30,082.32x = 41,497.52 × 19,453.50
  4. Step 4: Simplify right side
    30,082.32x = 807,271,908.05
  5. Step 5: Solve for x
    x = 807,271,908.05/30,082.32
  6. Step 6: Final answer
    x = 26,835.43

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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.