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Finding the Fourth Proportional to 27,772.39, 41,662.91 and 9,048.07

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Solution

The fourth proportional to 27,772.39, 41,662.91 and 9,048.07 is: 13,573.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.39 : 41,662.91 = 9,048.07 : x
  2. Step 2: Convert to fraction form
    27,772.39/41,662.91 = 9,048.07/x
  3. Step 3: Cross multiply
    27,772.39x = 41,662.91 × 9,048.07
  4. Step 4: Simplify right side
    27,772.39x = 376,968,903.46
  5. Step 5: Solve for x
    x = 376,968,903.46/27,772.39
  6. Step 6: Final answer
    x = 13,573.51

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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.