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Finding the Fourth Proportional to 75,954.87, 113,858.26 and 30,348.98

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Solution

The fourth proportional to 75,954.87, 113,858.26 and 30,348.98 is: 45,493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,954.87 : 113,858.26 = 30,348.98 : x
  2. Step 2: Convert to fraction form
    75,954.87/113,858.26 = 30,348.98/x
  3. Step 3: Cross multiply
    75,954.87x = 113,858.26 × 30,348.98
  4. Step 4: Simplify right side
    75,954.87x = 3,455,482,055.57
  5. Step 5: Solve for x
    x = 3,455,482,055.57/75,954.87
  6. Step 6: Final answer
    x = 45,493.88

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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.