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Finding the Fourth Proportional to 33,199.65, 49,795.37 and 13,459.24

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Solution

The fourth proportional to 33,199.65, 49,795.37 and 13,459.24 is: 20,187.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,199.65 : 49,795.37 = 13,459.24 : x
  2. Step 2: Convert to fraction form
    33,199.65/49,795.37 = 13,459.24/x
  3. Step 3: Cross multiply
    33,199.65x = 49,795.37 × 13,459.24
  4. Step 4: Simplify right side
    33,199.65x = 670,207,835.72
  5. Step 5: Solve for x
    x = 670,207,835.72/33,199.65
  6. Step 6: Final answer
    x = 20,187.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.