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Finding the Fourth Proportional to 75,882.84, 104,728.88 and 42,351

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Solution

The fourth proportional to 75,882.84, 104,728.88 and 42,351 is: 58,450.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,882.84 : 104,728.88 = 42,351 : x
  2. Step 2: Convert to fraction form
    75,882.84/104,728.88 = 42,351/x
  3. Step 3: Cross multiply
    75,882.84x = 104,728.88 × 42,351
  4. Step 4: Simplify right side
    75,882.84x = 4,435,372,796.88
  5. Step 5: Solve for x
    x = 4,435,372,796.88/75,882.84
  6. Step 6: Final answer
    x = 58,450.27

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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.