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Finding the Fourth Proportional to 51,492.42, 77,251.95 and 30,163.14

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Solution

The fourth proportional to 51,492.42, 77,251.95 and 30,163.14 is: 45,252.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,492.42 : 77,251.95 = 30,163.14 : x
  2. Step 2: Convert to fraction form
    51,492.42/77,251.95 = 30,163.14/x
  3. Step 3: Cross multiply
    51,492.42x = 77,251.95 × 30,163.14
  4. Step 4: Simplify right side
    51,492.42x = 2,330,161,383.12
  5. Step 5: Solve for x
    x = 2,330,161,383.12/51,492.42
  6. Step 6: Final answer
    x = 45,252.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.