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Finding the Fourth Proportional to 43,609.50, 65,437.88 and 33,768

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Solution

The fourth proportional to 43,609.50, 65,437.88 and 33,768 is: 50,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,609.50 : 65,437.88 = 33,768 : x
  2. Step 2: Convert to fraction form
    43,609.50/65,437.88 = 33,768/x
  3. Step 3: Cross multiply
    43,609.50x = 65,437.88 × 33,768
  4. Step 4: Simplify right side
    43,609.50x = 2,209,706,163
  5. Step 5: Solve for x
    x = 2,209,706,163/43,609.50
  6. Step 6: Final answer
    x = 50,670.29

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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.