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Finding the Fourth Proportional to 69,243.84, 103,821.37 and 29,252

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Solution

The fourth proportional to 69,243.84, 103,821.37 and 29,252 is: 43,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,243.84 : 103,821.37 = 29,252 : x
  2. Step 2: Convert to fraction form
    69,243.84/103,821.37 = 29,252/x
  3. Step 3: Cross multiply
    69,243.84x = 103,821.37 × 29,252
  4. Step 4: Simplify right side
    69,243.84x = 3,036,982,715.24
  5. Step 5: Solve for x
    x = 3,036,982,715.24/69,243.84
  6. Step 6: Final answer
    x = 43,859.25

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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.