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Finding the Fourth Proportional to 75,993.84, 113,819.52 and 36,580.56

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Solution

The fourth proportional to 75,993.84, 113,819.52 and 36,580.56 is: 54,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,993.84 : 113,819.52 = 36,580.56 : x
  2. Step 2: Convert to fraction form
    75,993.84/113,819.52 = 36,580.56/x
  3. Step 3: Cross multiply
    75,993.84x = 113,819.52 × 36,580.56
  4. Step 4: Simplify right side
    75,993.84x = 4,163,581,780.53
  5. Step 5: Solve for x
    x = 4,163,581,780.53/75,993.84
  6. Step 6: Final answer
    x = 54,788.41

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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.