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Finding the Fourth Proportional to 27,231.49, 40,842.33 and 7,505.16

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Solution

The fourth proportional to 27,231.49, 40,842.33 and 7,505.16 is: 11,256.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,231.49 : 40,842.33 = 7,505.16 : x
  2. Step 2: Convert to fraction form
    27,231.49/40,842.33 = 7,505.16/x
  3. Step 3: Cross multiply
    27,231.49x = 40,842.33 × 7,505.16
  4. Step 4: Simplify right side
    27,231.49x = 306,528,040.12
  5. Step 5: Solve for x
    x = 306,528,040.12/27,231.49
  6. Step 6: Final answer
    x = 11,256.38

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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.