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Finding the Fourth Proportional to 27,752.40, 41,628.99 and 9,032.54

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Solution

The fourth proportional to 27,752.40, 41,628.99 and 9,032.54 is: 13,548.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.40 : 41,628.99 = 9,032.54 : x
  2. Step 2: Convert to fraction form
    27,752.40/41,628.99 = 9,032.54/x
  3. Step 3: Cross multiply
    27,752.40x = 41,628.99 × 9,032.54
  4. Step 4: Simplify right side
    27,752.40x = 376,015,343.06
  5. Step 5: Solve for x
    x = 376,015,343.06/27,752.40
  6. Step 6: Final answer
    x = 13,548.93

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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.