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Finding the Fourth Proportional to 27,832.54, 41,750.48 and 9,114.56

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Solution

The fourth proportional to 27,832.54, 41,750.48 and 9,114.56 is: 13,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.54 : 41,750.48 = 9,114.56 : x
  2. Step 2: Convert to fraction form
    27,832.54/41,750.48 = 9,114.56/x
  3. Step 3: Cross multiply
    27,832.54x = 41,750.48 × 9,114.56
  4. Step 4: Simplify right side
    27,832.54x = 380,537,254.99
  5. Step 5: Solve for x
    x = 380,537,254.99/27,832.54
  6. Step 6: Final answer
    x = 13,672.39

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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.