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Finding the Fourth Proportional to 27,034.68, 40,552.26 and 7,313.42

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Solution

The fourth proportional to 27,034.68, 40,552.26 and 7,313.42 is: 10,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,034.68 : 40,552.26 = 7,313.42 : x
  2. Step 2: Convert to fraction form
    27,034.68/40,552.26 = 7,313.42/x
  3. Step 3: Cross multiply
    27,034.68x = 40,552.26 × 7,313.42
  4. Step 4: Simplify right side
    27,034.68x = 296,575,709.33
  5. Step 5: Solve for x
    x = 296,575,709.33/27,034.68
  6. Step 6: Final answer
    x = 10,970.19

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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.