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Finding the Fourth Proportional to 113,476.17, 170,236.66 and 33,515.50

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Solution

The fourth proportional to 113,476.17, 170,236.66 and 33,515.50 is: 50,279.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,476.17 : 170,236.66 = 33,515.50 : x
  2. Step 2: Convert to fraction form
    113,476.17/170,236.66 = 33,515.50/x
  3. Step 3: Cross multiply
    113,476.17x = 170,236.66 × 33,515.50
  4. Step 4: Simplify right side
    113,476.17x = 5,705,567,416.62
  5. Step 5: Solve for x
    x = 5,705,567,416.62/113,476.17
  6. Step 6: Final answer
    x = 50,279.87

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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.