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Finding the Fourth Proportional to 51,032, 76,509.12 and 34,396.22

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Solution

The fourth proportional to 51,032, 76,509.12 and 34,396.22 is: 51,568.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032 : 76,509.12 = 34,396.22 : x
  2. Step 2: Convert to fraction form
    51,032/76,509.12 = 34,396.22/x
  3. Step 3: Cross multiply
    51,032x = 76,509.12 × 34,396.22
  4. Step 4: Simplify right side
    51,032x = 2,631,624,523.53
  5. Step 5: Solve for x
    x = 2,631,624,523.53/51,032
  6. Step 6: Final answer
    x = 51,568.12

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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.