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Finding the Fourth Proportional to 51,419.53, 70,938.07 and 33,508

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Solution

The fourth proportional to 51,419.53, 70,938.07 and 33,508 is: 46,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,419.53 : 70,938.07 = 33,508 : x
  2. Step 2: Convert to fraction form
    51,419.53/70,938.07 = 33,508/x
  3. Step 3: Cross multiply
    51,419.53x = 70,938.07 × 33,508
  4. Step 4: Simplify right side
    51,419.53x = 2,376,992,849.56
  5. Step 5: Solve for x
    x = 2,376,992,849.56/51,419.53
  6. Step 6: Final answer
    x = 46,227.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.