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Finding the Fourth Proportional to 113,297.50, 169,965.78 and 34,419.70

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Solution

The fourth proportional to 113,297.50, 169,965.78 and 34,419.70 is: 51,635.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,297.50 : 169,965.78 = 34,419.70 : x
  2. Step 2: Convert to fraction form
    113,297.50/169,965.78 = 34,419.70/x
  3. Step 3: Cross multiply
    113,297.50x = 169,965.78 × 34,419.70
  4. Step 4: Simplify right side
    113,297.50x = 5,850,171,157.87
  5. Step 5: Solve for x
    x = 5,850,171,157.87/113,297.50
  6. Step 6: Final answer
    x = 51,635.48

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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.