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Finding the Fourth Proportional to 34,238, 51,361.32 and 11,753.06

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Solution

The fourth proportional to 34,238, 51,361.32 and 11,753.06 is: 17,631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,238 : 51,361.32 = 11,753.06 : x
  2. Step 2: Convert to fraction form
    34,238/51,361.32 = 11,753.06/x
  3. Step 3: Cross multiply
    34,238x = 51,361.32 × 11,753.06
  4. Step 4: Simplify right side
    34,238x = 603,652,675.64
  5. Step 5: Solve for x
    x = 603,652,675.64/34,238
  6. Step 6: Final answer
    x = 17,631.07

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Why These Related Problems?

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