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Finding the Fourth Proportional to 75,956.84, 113,954.78 and 54,634.12

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Solution

The fourth proportional to 75,956.84, 113,954.78 and 54,634.12 is: 81,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,956.84 : 113,954.78 = 54,634.12 : x
  2. Step 2: Convert to fraction form
    75,956.84/113,954.78 = 54,634.12/x
  3. Step 3: Cross multiply
    75,956.84x = 113,954.78 × 54,634.12
  4. Step 4: Simplify right side
    75,956.84x = 6,225,819,125.09
  5. Step 5: Solve for x
    x = 6,225,819,125.09/75,956.84
  6. Step 6: Final answer
    x = 81,965.22

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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.