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Finding the Fourth Proportional to 34,191.81, 51,287.75 and 9,231.84

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Solution

The fourth proportional to 34,191.81, 51,287.75 and 9,231.84 is: 13,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,191.81 : 51,287.75 = 9,231.84 : x
  2. Step 2: Convert to fraction form
    34,191.81/51,287.75 = 9,231.84/x
  3. Step 3: Cross multiply
    34,191.81x = 51,287.75 × 9,231.84
  4. Step 4: Simplify right side
    34,191.81x = 473,480,255.80
  5. Step 5: Solve for x
    x = 473,480,255.80/34,191.81
  6. Step 6: Final answer
    x = 13,847.77

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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.